CURRICULUM VITAE

Doctor Vladimir Rabinovich Likhtman

1 Datos Generales

� Nombre: Vladimir Rabinovitch Likhtman

� Fecha de Nacimiento: 02/09/1940

� Lugar de Nacimiento: Kiev, Ucrania

� Nacionalidad: Mexicano (Carta de Naturalizacion No.0020884, a las cua-tro días del mes de abril dos mil cinco)

� Estado Civil: Casado, Esposa Sineva Nelli

� Domicilio: Manizales 947, Depto 4A, Col. Lindavista, 07300, Del. Gus-tavo a Madero, Mexico D.F., tel. 5754 8516

� O�cina: Maestría de Telecomunicaciones, Sección de Estudios de Post-grado e Investigación, ESIME Zacatenco, I.P.N. Unidad-Zacatenco Av.Instituto Politécnico Nacional S/N Edi�cio 1, 2-do Piso, México 07738,D.F., MÉXICO, tel. 57296000, ext. 54672,

� e-mail: vladimir.rabinovich@gmail.com

� R.F.C. : RAVL-400902000

� Plaza: Profesor-Investigador �Titular C�, T.C.

� Beca SNI: Nivel 3

� Beca EDI: Nivel 9

� Beca COFAA , Nivel 4

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2 Formación académica

� Universidad Estatal de Rostov- Don, Rusia. Estudiante de la especial-idad en Matemáticas 1961-1966.

� Universidad Estatal de Rostov- Don, Rusia. Doctorado en Física yMatemáticas, 1966-1969

3 Grados Académicas

� 1. Maestría en Ciencias Matèmaticas, 1966, Universidad Estatal de Rostov-Don, Rusia. Diploma con mención honorí�ca.

� 2. Doctorado en Física y Matemática, 1971, Universidad Estatal deRostov- Don, Rusia

� 3. Profesor (docente), 1972, Catedra de ecuaciones diferenciales, Univer-sidad Estatal de Rostov- Don, Rusia

� 4. Segundo Grado de Doctor Completo en Física y Matemáticas, 1993,Instituto de Temperaturas Bajas de Academia de Ciencias de Ucrania

� 5. Profesor Completo Catedratico (Full Professor), 1994, Catedra de Ál-gebra y Matemáticas Discreta, Universidad Estatal de Rostov- Don, Rusia

4 Experiencia Profesional

� Universidad de Rostov-Don, Facultad de Matemática y Mecánicas

Asistente señor : 1969-1972,Profesor (Docente) 1972-1993Profesor Completo Catedratico (Full Professor), 1993-1998

� Instituto Politécnico Nacional, ESIME,Sección de Telecomunicaciones (México, D.F.) Profesor Titular C de lapropiedad, tiempo completo : de 15. 07. 1998.

5 Cursos impartidos

5.1 Nivel Licenciatura:

� Mathematical Analysis- 2-years course- 220 hours of lectures for studentsof Faculty of Physics of Rostov University. The curse was taught in 1970-1971,1971-1972,1972-1973,1974-1975.

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� Mathematical Analysis- 2-years course-288 hours of lectures for studentsof Department of Applied Mathematics of Rostov University, consistingof Calculus, Complex Analysis,Measure theory and the Lebesgue Integral.The curse was taught in 1980-1982,1983-1984,1985-1986,1986-1987,1988-1989,1990-1991.

� Linear Algebra and Analytic Geometry- 1.5 years course (138 hours oflectures) for students of of Department of Applied Mathematics of Ros-tov University. The course was thought in 1975-1976,1977-1978,1979-1980,1992-1993,1994-1995,1996-1997.

5.2 Nivel Maestría

5.2.1 Universidad Estatal de Rostov-Don

� Pseudodi¤erential operators and their applications. 1-years course (108hours of lectures) for graduate students of Department of Mathematicsof Rostov State University. (1972-1988, every year).

� Asymptotic methods of Analysis and Di¤erential Equations (72 hours oflectures) for graduate students of Department of Applied Mathematics ofRostov State University (1983-1997).

� Mathematical Problems of Wave Propagation in Acoustic and Electromag-netic Waveguides for graduate students of Department of Applied Math-ematics of Rostov State University (1985-1991).

5.2.2 Instituto Politécnico Nacional

� Doctorado Institutocionál en Electrónica y Telecommunicaciones

1. Metodos asintóticas en la teoría de la propagación de ondas2. Métodos espectrales en los problemas de propagación de ondas

� Maestria Telecomunicaciones ESIME Zacatenco

1. Matemáticas (curso semestral, 72 horas, desde 1999)2. Métodos del análisis de procesos ondulatorios (curso semestral, 108 horas,

desde 2004)3. Seminario departamental ( semestral, 36 horas, desde 1999)

6 Dirección de tesis de postgrado en la Univer-sidad Estatal de Rostov-Don

6.1 Director de tesisis de grado maéstria: 30 alumnos

6.2 Director de tesis del grado de doctor :

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� 1. R.Y. Doctorskiy. On approximation of solutions of boundary valueproblems in non-bounded domains for elliptic pseudo-di¤erential opera-tors. Rostov-on-Don, 1977

� 2. L.S. Urajdina. Boundary value problems for elliptic pseudodi¤erentialoperators on a class non-compact manifolds. Rostov-on-Don, 1978.

� 3.Y.A. Luckiy. Pseudo-di¤erential operators in space of distributions ofexponential behavior at in�nity. Rostov-on-Don, 1978.

� 4. S.Z. Levendorskiy. Calculation of pseudodi¤erential operators withsymbols having singularities and their spectral properties. Rostov-on-Don,1981.

� 5. B.V. Lange. On Noether properties and invertibility of convolutiontype operators and pseudodi¤erential operators. Rostov-on- Don, 1985.

� 6. V.D. Kryakvin. Pseudo-di¤erential equations in spaces of Holder func-tions. Rostov-on-Don, 1985.

� 7. R.G. Babadjanian. Systems of integral-di¤erence equations. Erevan,1986.

� 8. O.A.Obresanova. Acoustic �eld in spatial wave-guides generated bymoving sources. Rostov-on-Don, 1995

7 Dirección de tesis del posgrado en el InstitutoPolitécnico Nacional

� Maestria de Telecomunicaciones, ESIME Zacatenco1) Ivan Miranda Sanchez, Tema: Fuentes con movimiente en guías deondas electromagneticas, Examen de grado: 05/29/2002

2) Fernando Campos Fuertos, Tema: Fuentes moviles en una capa elec-tromagnetica aplicando la transformada de Lorentz, Examen de grado:06/17/2005

3) Eloy Ramírez García, Tema: Comunnicaciones submarinas: modeladode la propagación ondas acústicas en el océano producidas por una fuenteen movimiento en la super�cie del mismo, Examen de grado: 04/05/2006

4) Rodolfo Vera Amaro, Tema: Propagacíon de ondas acústicas en unoceano profundo producido por una fuente en movimiente en la atmósfera,Examen de grado: 12/03/2007

� Doctorado Institucional en Electronicas y Telecomunicaciones1. Ivan Miranda Sanchez, Tema: Fuentes en movimiento no uniforme enguías de ondas electromagneticas, Examen de grado: 06/18/2007

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2. Ricardo Oscar Magos Pérez, Tema: Aplicación del métodos asintóti-cas para el cálculo de una onda electromagnética propgándose a travésde una guía de onda dielectrica casi-estrati�cadfa, Examen predoctoral:11/14/2007

� En proceso: dos estudiantes del Doctorado Institucional en Electronicasy Telecomunicaciones

8 Campos de Investigación:

� Operadores Pseudodiferenciales

� Ecuaciones Di¤erenciales Parciales

� Problemas Matemáticas de Propagacion de Ondas

� C�-álgebras,

� Ecuacíones de Wiener-Hopf multi-dimencionales, Ecuaciones singulares in-tegrales

� Método de operadores límite y sus aplicacíones.

� Problemas espectrales de Mecánica Quántica

9 Proyectos y Programas Cientí�cos:

9.1 Rusia

� 1. Mathematical simulating of underwater sound propagation in the Oceanon far distances. 1983-1986.

Project supported by Navy of USSR.Position: Senior Researcher

� 2. Sound propagation in the Ocean from moving sources. 1987-1991.Project supported by Navy of USSR.

Position: Director of the Project.

� 3. Sound propagation in the Ocean from source moving in the air. 1995-1997

Position: Director of the Project.Project supported by Russian Fund of Fundamental Investigations, Grant :

RFFI-950101-285A

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� 4. Singular Integral Equations, Convolution Equations, Local Principleand their Applications. 1996-1998.

Position: Senior ResearcherProject supported by Russian Fund of Fundamental Investigations, Grant :

RFFI-960101-195A

� 5. Spectral Asymptotics of the Schrödinger Operator with Electromag-netic Field.

Position: Senior ResearcherProject supported by Russian Fund of Fundamental investigations,Grant : RFFI-960101-195A, 1997-2000.

9.2 México

� Director de proyectos de SGPI del IPN

1) Soluciones asintoticas localizadas en la vecindad del rayo óptico, clave:981089El periodo: 07. 1998- 06. 20012) Tema: Fuentes con movimiento no uniforme en guias de ondas electro-

magneticasRegistro asignado por la CGPI: 20030425

3) Tema: PROPAGACIÓN DE ONDAS PRODUCIDAS POR FUENTESEN MOVIMIENTO EN GUÍAS DE ONDAS NO ESTRATIFICADAS ACÚS-TICAS, DIELÉCTRICAS Y PLASMAS, Clave 200401364) Tema: PROPAGACIÓN DE ONDAS PRODUCIDAS POR FUENTES

EN MOVIMIENTO EN GUÍAS DE ONDAS NO ESTRATIFICADAS ACÚS-TICAS, DIELÉCTRICAS Y PLASMAS, 2005, Clave: 200504175) Tema: Propagación de ondas acústicas y electromagnéticas en guías de

onda no homogéneas, 2006, Clave: 200602656) Tema: Propagación de ondas acústicas y electromagnéticas en guías de

onda no homogéneas, 2007, Clave: 20070214

� Director del proyecto de SEP-CONACYT:

Tema: Desarollo del método del operadores limite y sus aplicaciones. Clave43432, 2004-2007

10 Becas

10.1 Becas internacionales

� 1. American Mathematical Society, 1992-1995,

� 2. Soros Foundation: 1993-1998,

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� 3. DFG (Alemania) 1996 (3 mes.), 1997 (2 mes.), 2001-2002, 3 mes, 2005-2007, 3 mes.

� 4. Max Plank Institute (Alemania), 1998 ( 2 mes)

10.2 Becas nacionales

� a) Beca EDD, Durante el periodo: 1 de enero de 1999 al 31 marzo de 2000,

� b) Beca EDI, nivel 9. Durante el periodo: 1 de abril de 2002 al 31 marzode 2007

� Beca COFAA, nivel 4, Durante el periodo: 1 enero de 2005- 31 deciembrede 2008

� d) Beca SNI, nivel 2. Durante el periodo: 1 de Julio de 2000 al 31 dedeciembre de 2008

11 Invitaciones Académicas

1994, December,Visiting Professor, Middle East University, Ankara, Turkey1995, March-May, Visiting Professor, Technical University Chemnitz-Zwikau,

Germany1996, March-April, Visiting Professor, Technical University Chemnitz-Zwikau,

Germany1997, December-1998, February, Visiting Professor, Technical University

Chemnitz-Zwikau, and University of Potsdam, Germany,1998, April-June, Visiting Professor, Lissbon, Instituto Superior Tecnico,1999, Mayo-Junio, Visting professor in the Max-Plank Research Group in

Potsdam University (Alemania),2000, Julio, Visiting professor in Tel-Aviv University and Technion (Israel),2001, Enero,Visiting professor in Darmstadt University2005, Enero, Visiting professor in Darmstadt University2006, Enero, Visiting professor in Darmstadt University2007, Octubre, Visiting professor in Darmstadt University

12 Actividades profesionales especiales

� 1978- : Miémbro de Sociedad Matemáticas de Estados Unidos Americanos

� 2000- : Miémbro del Sistema Nacional de Investigadores (SNI) -Nivel 2.

� Reviewer:

in �Zentralblatt fur Mathematik�, 1980-Present, mas que 70 reseñasin �Mathematical Reviews�1973-Present, mas que 200 reseñas

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13 Publicaciones de Investigación (3 Libros, 21Capítulos en Libros, 95 Artículos en RevistasInternacionales, 12 Publcaciones en Colec-ciones de Artículos Rusos con Réfero)

13.1 Libros de investigación internacionales

� R. Duduchava, I. Gohberg, S. Grudsky, V. Rabinovich (Editors), Re-cent Trends in Toeplitz and Pseudodi¤erential Operators, The NikolaiVasilevskii Anniversary Volume, Operator Theory: Advances and Appli-cations, Vol. 210, Basel, Birkhäuser, 2010, 272 pp.

� Ya. M. Erusalimsky, I. Gohberg, S.M. Grudsky,V.Rabinovich, N. Vasilevski(EDITORS), Modern Operator Theory and Applications, in ser. Opera-tor Theory: Advances and Applications, vol.170, ISBN 978-3-7643-7736-6,Birkhauser Verlag, 2006, 256 pp.

� V.S.Rabinovich, S. Roch, B.Silbermann, Limit Operators and its Appli-cations in the Operator Theory, In ser. Operator Theory: Advances andApplications, vol 150, ISBN 3-7643-7081-5, Birkhäuser Velag, 2004, 392pp.

� V.S. Rabinovich, An Introductionary Course on Pseudodi¤erential Op-erators. Instituto Superior Técnico. Textos de Matemática. Centro deMatemática Aplicada 1, 1998, 79 p.

13.2 Capítulos en libros de investigación internacionalescon réfero

1. O.A. Obresanova, V.S. Rabinovich, Wave propagation from moving sourcein the ocean, In the book: ECCOMAS Comput. Fluid Dynamics Conf, Paris,1996, pp. 754-7592. V.S.Rabinovich. Mellin pseudo-di¤erential operators with operator sym-

bols and its applications. In the book: Partial Di¤erential Operators and Math-ematical Physics, Demuth, M., Schulze, B.-W. (Eds.), ISBN 978-3-7643-5208-0,Hardcover, Operator Theory: Advances and Applications, Vol. 78, 1995, p.271-2793. V.S.Rabinovich. Mellin pseudodi¤erential operators technique in the

theory of singular integral operators on some Carleson curves. In the book:Di¤erential and Integral Operators, Gohberg, I.C., Mennicken, R., Tretter, C.(Eds.), ISBN 978-3-7643-5890-7, Hardcover, Operator Theory: Advances andApplications, Vol.102, 1998, Birkhauser Verlag Basel / Switzerland, p.201-2184. V.S. Rabinovich. Elliptic boundary value problems in domains with

whirl points at the boundary. In the book: Mathematical Reserch. Volume100. Di¤erential Equations, Mathematical Analysis and Mathematical Physics,Academie Verlag, Berlin, 1997, p.276-286

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5. V.S. Rabinovich, N.Vasilevski, Bergman-Toeplitz and pseudodi¤erentialoperators, In the book: Complex Analysis, Operators, Related Topics,Havin, V.P., Nikolski, N.K. (Eds.), ISBN 978-3-7643-6214-0, 2000, Hard-

cover, Operator Theory: Advances and Applications,vol.113, 2000, BirkhäuserVerlag Basel/ Switzerland, p. 207-234.6. A.Bottcher, Yu.I. Karlovich, V.S.Rabinovich. Singular integral operators

with complex conjugation from the viewpoint of pseudodi¤erential operators.Inthe book: Problems and Methods in Mathematical Physics, Elschner, J., Go-hberg, I., Silbermann, B. (Eds.), Vol. 121, ISBN 978-3-7643-6477-9, 2001, Hard-cover Operator Theory: Advances and Applications, vol.121, 2001, BirkhäuserVerlag Basel/ Switzerland, p. 36-597. V.S. Rabinovich. Stability of inverse operators of boundary value prob-

lems in nonsmooth expanding domains. In the book: Partial Di¤erential Equa-tions and Spectral Theory, Demuth, M., Schulze, B.-W. (Eds.), ISBN 978-3-7643-6219-5, Hardcover, Operator Theory: Advances and Applications, 2001,vol.126, Birkhäuser Verlag Basel/ Switzerland, p.261-2748. V. S. Rabinovich, B-W. Schulze, N.N. Tarkhanov, Local algebra of a non-

symmetric corners, In the book: Partial Di¤erential Equations and SpectralTheory, Demuth, M., Schulze, B.-W. (Eds.), ISBN 978-3-7643-6219-5, Hard-cover, Operator Theory: Advances and Applications, 2001,vol. 126, BirkhäuserVerlag Basel/ Switzerland, p. 275-2809. V. Rabinovich, S. Roch, Local theory of the Fredholmness of band-

dominated operators with slowly oscillating coe¢ cients, In the book: ToeplitzMatrices, Convolution Operators, and Integral Equations, Böttcher, A., Go-hberg, I., Junghanns, P. (Eds.), ISBN 978-3-7643-6877-7, Hardcover OperatorTheory: Advances and Applications, Vol. 135, p. 267-291, 200210. V.S. Rabinovich, S. Roch, An axiomatic approach to the limit operators

method, In the book: Singular Integral Operators, Factorization and Applica-tions, Böttcher, A., Kaashoek, M.A., Brites Lebre, A. (et al.) (Eds.), ISBN978-3-7643-6947-7, Hardcover, Operator Theory: Advances and Applications,Vol. 142, 263-285, 2003 Birkhäuser Verlag Basel/ Switzerland11. V.S. Rabinovich, Abstract scheme for the method of limit operators on a

group of unitary operators. In the book: Semigroups of Operators: Theory andApplications, Edited by C. Kubrusly, N. Levan, M.da Silveira, OptimizationSoftware Inc., Publications: New York- Los Angeles, ISBN 0-911575-11-1, 2003,p. 220-22712. V.S.Rabinovich, S.Roch, Integral operators with shifts on homogeneous

groups, pp. 255-272. In the book: Factorization, Singular Operators and Re-lated Topics, Kluwer Academic Publishers, Dordericht, The Netherlands, ISBN1-4020-1407-4, 200313. V.S.Rabinovich, S.Roch, Fredholmness of convolution type operators,

In the book: Operator Theoretical Methods and Applications to MathematicalPhysics, Gohberg, I., dos Santos, A.F., Speck, F.-O. (et al.) (Eds.), ISBN 978-3-7643-6634-6, Hardcover, Operator Theory: Advances and Applications, Vol.147,423-455, 2004, Birkhäuser Verlag Basel/ Switzerland

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14. V.S. Rabinovich, Limiting absorption principle for a class of di¤er-ence equations, In the book: Operator Theoretical Methods and Applicationsto Mathematical Physics, Gohberg, I., dos Santos, A.F., Speck, F.-O. (et al.)(Eds.), ISBN 978-3-7643-6634-6, Hardcover, Operator Theory: Advances andApplications, Birkhauser Verlag, Vol.147, 403-422, 200415. V.S. Rabinovich, I. Miranda Sanches, Non-uniformly moving source in

electromagnetic waveguides. In the book: : Proceeding of the InternationalSeminar �Day of Di¤raction 2003�, June 24-27, St. Petersburg, Russia, p.193-202, IEEE, Catalog, No. 03EX661, ISBN 5-94158-070-316. V.S. Rabinovich, S. Roch, Algebras of approximation sequences: spec-

tral and pseudospectral approximation of band-dominated operators. In libro:International Workshop on Linear Algebra, Numerical Functional Analysis andWavelet Analysis, Allied Publisher Private Ltd. October 2003, ISBN 817764-506-417. Vladimir. S. Rabinovich, Ivan Miranda Sancez, Radiation from nonuni-

formly moving sources in the plasma. In the book: : Proceeding of the Inter-national Seminar �Day of Di¤raction, 2004, St. Petersburg p.163-174, IEEECatalog No.:04EX837, ISBN:5-961-0064-718. Ricardo Magos Perez, V. Rabinovich, Asymptotics of the Green func-

tions for Helmholtz operators in almost strati�ed medias, In the book: Proceed-ings of the International Seminar " Days of Di¤raction, June 28-July1, 2005,St. Petersburg, Russia, p. 209-216, IEEE Catalog, No: 05EX1151, ISBN:5-961-0140-619. V. Rabinovich, Fredholm Property of Pseudodi¤erential Operators on

Weighted Holder-Zygmund Spaces, In the book: Pseudo-Di¤erential Operatorsand Related Topics, Boggiatto, P., Rodino, L., Toft, J. (et al.) (Eds.), ISBN978-3-7643-7513-3, Hardcover, Operator Theory: Advances and Applications,vol. 164, p. 95-114, 2006 Birkhauser Verlag Basel/Switzerland20. V.S. Rabinovich, S. Roch, B. Silbermann, Finite section of band-dominated

operators with almost periodic coe¢ cients, In the book: Modern Operator The-ory and Applications, Erusalimsky, Y.M., Gohberg, I., Grudsky, S.M. (et al.)(Eds.), ISBN 978-3-7643-7736-6, Hardcover, Operator Theory: Advances andApplications, vol.170, 205-228, 2006, Birkhauser Verlag Basel/Switzerland21. V.S. Rabinovich, S. Roch, The Fredholm Property of Pseudodi¤erential

Operators with Non-smooth symbols on Modulation Spaces, In the book: TheExtended Field of Operator Theory, Dritschel, M.A. (Ed.), ISBN 978-3-7643-7979-7, Hardcover, Operator Theory: Advances and Applications, BirkhaüserVerlag, vol. 171, p.259-280, 200722. V.S. Rabinovich, S. Roch, Exact and numerical inversion of pseudodi¤er-

ential operators and application to signal processing, Modern Trends in Pseudo-Di¤erential Operators, Toft, J., Wong, M.W., Zhu, H. (Eds.), ISBN 978-3-7643-8097-7, Operator Theory: Advances and Applications, vol. 172, 259-277, 2007Birkhauser Verlag Basel/Switzerland23. V.S. Rabinovich, S. Roch, Essential Spectra of Pseudodi¤erentiakl Op-

erators and Exponential Decay of their Solutions. Applications to SchrödingerOperators, in the book: Operator Algebras, Operator Theory and Applica-

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tions, Ser. Operator Theory: Advances and Applications, vol. 181, 2008, ISBN:978-3-7643-8683-2, p.p. 335-38424. V.S. Rabinovich, S. Roch, B. Silbermann, On Finite Section Method of

Band-Dominated Operators, in the book: Operator Algebras, Operator Theoryand Applications, Ser. Operator Theory: Advances and Applications, vol. 181,2008, ISBN: 978-3-7643-8683-2, p.p. 385�39125. V.Rabinovich, Local Exponential Estimates for h-pseudo-di¤erential Op-

eratorswith Operator-valued Symbols, Operator Theory: Advances and Applica-

tions, Vol. 213, 173�190, 2011 Springer Basel AG

13.3 Publicaciones principales en revistas internacionalescon réfero

1. V.S.Rabinovich. The multidimensional Wiener-Hopf equation for cones.Theoria Functiy, Funktional Analis i ih Prilojenia, Charkov, No.5, 1967, p. 59-67 (In Russian)2. V.S.Rabinovich. Some estimates for translate-invariant operators in

weight spaces. Izvestia Vuzow. Mathematika. No.1, 1968, p.72-80 (In Russian)3. V.S.Rabinovich. Many dimensional convolution equation with symbol

having singularities of the form of a complex power function of a lineary homo-geneous cone, . Izvestia Vuzow. Mathematika. No.8 (87) 1969, p.64-73. (InRussian)4. V.S.Rabinovich. Pseudo-di¤erential equations on non bounded domains

with conic structure at in�nity. Math.sbornik, v.30 (122), No.1(9), 1969, 77-97.(English translation: Math.USSR, Sbornik, Vol.9 (1969), No.1, p.73-92)5. V.S.Rabinovich. Pseudo-di¤erential equations on non bounded domains.

Dokl. Akad. Nauk SSSR, v.197, No.2, 1971, p.284-287. (English translation:Soviet Math. Dokl. V.12 (1971), N.2, p.452-456)6. V.S.Rabinovich. The Cauchy problem for parabolic pseudo-di¤erential

equations with non stabilized symbol. Izvestia Vuzow. Mathematika. No.7(12),1972, p.86-94. (In Russian)7. M.N. Kostukovich, V.S.Rabinovich. Discrete analogs of boundary value

problems. Izvestia Vuzow. Mathematika. No.11, 1972, p.35-38 (In Russian)8. V.S.Rabinovich. Quasi-elliptic pseudo-di¤erential operators and Cauchy

problem for parabolic equations. Dokl. Akad. Nauk SSSR, v.201, N.5, 1972,p.1051-1058 (English translation: Soviet Math. Dokl. Vol.12 (1971), No.2,1791-1796)9. V.S.Rabinovich. Pseudo-di¤erential operators on a class of non compact

manifolds. Math.Sbornik, Vol.89(131), No.1, 1971, 47-60 (English translation:Math. USSR, Sbornik, v.18, 1972, no.1, p.45-59.)

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10. V.S.Rabinovich. On a class of pseudo-di¤erential equations for nonbounded domains in spaces Hs;p of Bessel potentials. Theory Functiy, Funk-tional Analis i ih Prilojenia, Charkov, No.13, 1972, p. 88-101 (In Russian)11. V.S.Rabinovich. Multidimensional convolution type equations with

operator-valued symbols. Theory Functiy, Funktional Analis i ih Prilojenia,Charkov, No.19, 1972, p. 44-53 (In Russian)12. V.S.Rabinovich. A priori estimates and Fredholmness of a class pseudo-

di¤erential operators. Matem. sbornik, Vol.92(134), 1972, p.195-208 (Englishtranslation:Math. USSR, Sbornik, V.21 (1973), N.2, p.191-206)13. V.S.Rabinovich. Many-dimensional convolution operators in the space

of integrable with weight functions. Mathem.zametky, v.16, N.2, 1974, 267-276.14. V.S.Rabinovich.. Boundary value problems for a class of di¤erential

operators in domains with conical points. Di¤erentialnie Uravnenia, v. 13,No.9, 1977, p. 1727-172915. Ya.A. Luckiy, V.S.Rabinovich. Pseudodi¤erential operators in spaces of

distributions of an exponentional behavior at in�nity. Funkcionalniy Analis iego Prilojenia, v.12, No.1, 1978, p.7916. V.S.Rabinovich. Quasielliptic and parabolic boundary value problems

for non bounded cylindrical domains. Theory Functiy, Funktional Analis i ihPrilojenia, Charkov, No.24, 1978, p.138-150 (In Russian)17. V.S.Rabinovich. On the solvability of di¤erential-di¤erence equations

on Rn and in a half space. Dokl. Akad. Nauk. SSSR, Vol.243 (1978), No.5,1056-1058 (English translation: Soviet Math.Dokl., vol.19( 1978), no.6, 1489-1502.)18. V.S.Rabinovich. On the Cauchy and Goursat problems for a class of non

hypo-elliptic operators. Izvestia Severo-Kavkazskogo Centra Vishshey Shkoli,ser.est nauk., Rostov-on-Don, 1979, No.1, p.4-7. (In Russian)19. V.S.Rabinovich. On di¤erential-di¤erence equations in a half space.

Di¤erentialnie Uravnenia, v.26, (1980), N.11, 2030-2038 (In Russian)20. V.S.Rabinovich. Noetherian character of pseudodi¤erential operators

with symbol of class Sm�;�(0 � � = � < 1):Matem. Zametki,Vol. 27, No.3, pp.457-467, March, 1980. (In Russian)21. V.S.Rabinovich. On the Cauchy problem for parabolic di¤erential-

di¤erence equations with variable coe¢ cients. Di¤erentialnie Uravnenia, v.19,No.6, 1983, 1032-1039 (In Russian)22. V.S.Rabinovich. On the C��algebras generated by pseudo-di¤erential

on Rn, operators of multiplication by almost-periodic functions and shift opera-tors. Dokl. AN SSSR, Vol. 263 (1982), No.5, p.1066-1069 (English translation:Soviet Math.Dokl., vol.25 (1982), no.2, p.498-502)23. R.G. Babadjanian, V.S.Rabinovich. A system of integral-di¤erence

equations on half-line. Doklady Akademii Nauk Armyanskoy SSR, 1985, No.3,107-111. (In Russian)24. R.G. Babadjanian, V.S.Rabinovich. A system of integral-di¤erence

equations on half-space. Izvestia Vuzow. Mathematika. No.1,1987, p.63-66(In Russian)

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25. B.Lange, V.S.Rabinovich. Pseudo-di¤erential operators on Rn and limitoperators. Matem.sbornik,Vol.129 (1986), N.2, p.175-185(English translation :Math.USSR, Sbornik, vol. 577, 1987, no.1, p.183-194.)26. B.Lange, V.S.Rabinovich. On Noether property of many-dimensional

operators of convolution types with a measurable boumded coe¢ cients. IzvestiaVuzow. Mathematika, No.6, 1985, 22-30 (In Russian)27. B.Lange, V.S.Rabinovich. A criterion of the Noether property of pseudo-

di¤erential operators on Rn with symbol of the class C1b (Rn � Rn): Doklady

Akad. Nauk SSSR, v.285, No.6, 1985 (English translation: Soviet Math.Dokl.Vol.32, No.3, p.884-88728. V.S.Rabinovich. On algebras of pseudo-di¤erential operators connected

with di¤erential-di¤erence operators. 1. Theory Functiy, Funktional Analis i ihPrilojenia, Charkov, No. 35, 1985, p.119-125 (In Russian)29. B.Lange,V.S.Rabinovich. Fredholmness of pseudo-di¤erential operators

with symbols in class C1b . Sem.Analisis, 1984/1985, Karl Weierstr. Inst. furMath., Berlin, 1985, 147-162.30. B.Lange, V.S.Rabinovich. On the Noether property of many-dimensional

discrete convolutions. Mat. Zametki. V.37, No.3 (1985) , p.407-42131.V.S.Rabinovich. Fredholmness of pseudo-di¤erential operators on Rn in

the scale of L2;q-spaces. Siberian Math.J. 29, 1988, no.4, 635-646. (Englishtranslation in Siberian Math. Jornal v.29, No.4, 1988, p. 635-646)32 V.S.Rabinovich. Discrete operator convolutions and some of their appli-

cations. Mathematical Notes, 51, 1992, no.5, 484-492. ( English translation inMath. Notes, Vol.51, No.5 , 1992, p.484-492)33. V.S.Rabinovich. Fredholmness of the boundary value problems on non

compact manifolds and limit operators. Dokl. An SSSR, 1992, vol.325, No.2,p.237-241 (English translation: Russian Akad.of Sciences. Doklady, Math., 46,1993, no.153-58.)34. V.S.Rabinovich. Singular integral operators on complicated contours

with oscillatory tangent and Mellin pseudo-di¤erential operators. Dokl. ANSSSR, 1991, vol.321, No.4, p.692-696 (English translation: Soviet Math.Dokl.,44, 1992, no.3, 791-796.)35. V.S.Rabinovich. A criterion of local invertibility of pseudo-di¤erential

operators with operator symbols and some of its applications. Dokladi Acad.NaukRossii, Math. 1993, vol.333, No.2, 147-150. (English translation: RussianAcad.Sci. Dokl.Math, Vol.48(1994), No.3, 465-469)36. V.S.Rabinovich. Singular integral operators on complicated contours

and pseudo-di¤erential operators. Mathem. zametky, 1995, V.58, 1, p.67-85(English translation: Mathematical Notes, vol 58, No.1, 1995, 722-734)37. V.S.Rabinovich. On the solvability of acoustic problems for open waveguide.

Di¤eren.Uravn., 1990, 26, no.12, 2178-2180. (In Russian)38. V.S.Rabinovich. Spectral and scattering theory for acoustic operator in

non-homogeneous �uids. Teubner Texte zur Math., 131, 1992, Leipzig, 158-167.39. V.S.Rabinovich. Spectral properties of a class of di¤erence operators.

Dokl. AN SSSR, 1991, vol.320, No.1, p.45-48 (English translation: SovietMath.Dokl., vol. 44, 1992, no.2, 402-406).

13

40. V.I.Il�ichov, E.A.Rivelis, V.S.Rabinovich, Y.V.Hoha. A far �eld of amoving narrow-band acoustic source in a wave-guide . Doklady AN USSR,Physics, 1989, vol.304, No.5, p.1123-1127.41. O.A.Obresanova,V.S.Rabinovich. Acoustic �eld of source moving on a

surface of a strati�ed waveguide. Acoustic Jornal, 1993, v.39, N.3, p.517-521(English translation: Phisical Acoustic, 1993, No.3, 269-271)42. V.S.Rabinovich. Pseudo-di¤erential operators with operator symbols:

Local invertibility and limit operators. Linear Topological Spaces and ComplexAnalysis, I, Ankara, 1994, p.58-7343. S.M. Grudskiy, O.A.Obresanova, V.S.Rabinovich. Propagation of sound

from a moving air-borne source in the ice-covered ocean. Acoustic Jornal, 1996,No.2, p.191-196.1996 (English translation: Phisical Acoustic, 1996, No.2, 166-171)44. A.Böttcher,Yu.I. Karlovich, and V.S.Rabinovich. Emergence, persis-

tence, and disapperance of logarithmic spirals in the spectra of singular integraloperators. Integral Equation and Operator Theory, Vol.25(1996), 405-44445. V.S.Rabinovich. Algebras of singular integral operators on composed

contours with whirl points. Functionalniy Analis i ego priloj, Vol.30, No.3,1996, p.85-87. (English translation in Functional analysis and its applications,Vol.30, No.3, ,1996, p.213-215)46. V.S.Rabinovich. Algebras of singular integral operators on complicated

contours with nodes being of logarithmic whirl points. Izvestia AN Rossii, ser.mathem., v.60, No.6, 1996,169-200.(In Russian) English translation: Izvestia:Mathematics 60:6, 1996, 1261-129247. V.S.Rabinovich. Pseudo-di¤erential operators with analytical symbols

and some of its applications. Linear Topological Spaces and Complex Analysis,II, Ankara, 1995, p.79-98.48. O.A. Obresanova, V.S. Rabinovich. Acoustic �eld generated by moving

sources in strati�ed wave guides. Wave Motion 27 (1998) 155-16749. V.S. Rabinovich. Criterion for Local Invertibility of Pseudodi¤erential

Operators with Operator Symbols and Some Applications. Proceedings of theSt. Petersburg Math. Society, Vol.5, 1998. Amer. Math. Soc. Translations,Ser.2, Vol.193, 1999, 239-25850. V.S.Rabinovich. C�-Algebra of Pseudodiferential Operators and Limit

Operators. Contemporary Mathematics, Vol.212, 1998, p.169-18351. A. Böttcher, Yu.I. Karlovich, V.S.Rabinovich. Mellin pseudodi¤erential

operators with slowly varying symbols and singular integrals on Carleson curveswith Muckenhoupt weights. Manuscripta math., 95, 1998, 363-37652. V.S.Rabinovich, S.Roch, B.Silbermann. Fredholm theory and �nite

section method for band-dominated operators. Integral Equations and OperatorTheory 30 (1998), 452-49553. V.S. Rabinovich. Elliptic boundary value problems in domains with

points of logarithmic vorticity of the boundary. Doklady AN Rossii, Mathemat-ics, 1998, v. 361, No.1, p.17-20, English translation in Doklady Mathematics,vol.58, no.1, 1998, pp.11-14

14

54. V.S. Rabinovich, Potential Type operators on Curves with VorticityPoints, Zeitschrift für Analysis und ihre Anwendungen, 18(1999) 4, 1065-108155. A.Bottcher, Yu.I. Karlovich, V.S.Rabinovich. The method of limit op-

erators for one-dimensional singular integrals with oscillating data. J. OperatorTheory 43 (2000) , 171-198I.56. M. Gontmaher, V.S. Rabinovich. Exponential estimates of solutions of

partial di¤erential equations near singularities of coe¢ cients. Linear TopologicalSpaces and Complex Analysis 3(1997), 65-79, METU-TUBITAK.57. V.Rabinovich, B-W. Schulze, N.N. Tarkhanov. A calculus of boundary

value problems in domains with non-Lipschitz singular points, Math. Nachr.215 (2000), 115-16058. V.S.Rabinovich, S.Roch, B.Silbermann, Algebras of approximation se-

quences: Finite Section of band-dominated operators. Acta Applicande Math-ematicae, 1-3, vol.65, 2001, 315-33259. V. Rabinovich, , B.-W. Schulze, N.Tarkhanov, Boundary value problems

in domains with non Lipschitz boundary, Nonlinear analysis 47 (2001), 1881-1991,60. V.S. Rabinovich, S.Roch, B.Silbermann, Band-dominated operators with

operator-valued coe¢ cients, their Fredholm properties and �nite section, Inte-gral Equations and Operator Theory 40 (2001), 342-38161. A.N. Karapetianc, V.S.Rabinovich, N.L.Vasilevski, On algebra of two

dimensional singular integral operators with homogeneous discontinuties in sym-bols, Integral Equations and Operator Theory 40 (2001), 278-30862. V.S.Rabinovich, Stability of the inverse operators of boundary value

problems in smooth expanding domains, Functional Analysis and its Applica-tions, Vol.35, 2001, No.4, pp. 85-8763. V.S.Rabinovich, Stability of the inverse operators of boundary value

problems in smooth expanding domains, Russian Journal of Mathematical Physics,Vol. 8, No.3, 2001, pp. 351-36064. V. S. Rabinovich, B-W. Schulze, N.N. Tarkhanov, Elliptic boundary

value problems in domains with intersecting cuspidal edges, Doklady AN Rossii,Mathematics, 2000, Vol.62, No.3, pp. 401-405,Translated from Dokladi Akademii Nauk,vol.375, no.6, 2000, pp.737-74165. V.S.Rabinovich, Abstract scheme of the limit operator method and some

of its applications, DAN Rossii, Mathematics, Vol. 381, No.2, 2001, 167-169(English translation: Doklady Mathematics, Vol 64, No.3, 2001, pp.333-336)66. V. Rabinovich, B-W. Schulze, N.N. Tarkhanov, C�-algebras of singular

integral operators in domains with oscillating conical singularities, Manuscriptamath. v. 108, 2002, p. 69-9067. V. Rabinovich, Pseudodi¤erential operators with analytic symbols and

estimates for eigenfunctions of Schrödinger operators, Zeitschrift für Analysisund ihre Anwendungen, (Journal for Analysis and its Applications) V.21, (2002),No.2, 351-´37068. V.S. Rabinovich, I. Miranda, Non-uniformly moving source in electro-

magnetic waveguides, WSEAS Transactions on Systems, Issue 2, vol.1, April2002, ISSN 1109-27777, www.wseas.org, p.109-114

15

69. V.S. Rabinovich, Fredholm property of pseudodi¤erential operators withshifts and limit operators. Doklady Mathematics, Vol.67, No.1, 2003, pp. 81-84,Translated from Doklady AN Rossii, 2003, v. 388, No.6, pp.734-73770. K.V. Khmelnitzkaya, V. Kravchenko, V. Rabinovich, Quaternionic fun-

damental solutions for electromagnetic scattering problems and application.Zeitschrift für Analysis und ihre Anwendungen. Journal for Analysis and itApplications, 2003, v.22, No.1, 147-16671. V.S.Rabinovich, Multidimensional pseudodi¤erence operators: Fred-

holm property, essential spectrum, and exponential estimates of solutions, RussianJournal of Math. Physics, Vol.10, No.3, 2003, pp.296-31873. V.S.Rabinovich, Pseudodi¤erential operatprs on Rn with variable shifts,

Zeitschrift für Analysis und ihre Anwendungen (Journal for Analysis and itsApplications), V. 22 (2003), No.2, 315-33874. V.S.Rabinovich, S.Roch, J. Roe, Fredholm indeces of band-dominated

operators, Integral Equations and Operator Theory, 49 (2004), 221-238, BirkhäuserVerlag Basel/ Switzerland75. M. Lindner, V.S. Rabinovich, S. Roch, Finite section of band operators

with slowly oscillating coe¢ cients, Linear Algebra and its Applications 390(2004), p. 19-2676. V.S. Rabinovich, Exponential estimates for eigenfunctions of Schrödinger

operators with rapidly increasing and discontinuous potentials. ContemporaryMathematics, No.364, 2004, p.225-23677. V.S. Rabinovich, S. Roch, Wiener Algebra of Operators, and Appli-

cations to Pseudodi¤erential Operators, Zeitschrift für Analysis und ihre An-wendungen (Journal for Analysis and its Applications), Vol.23 (2004), No.3,437-48278. V.S. Rabinovich, S. Roch, Pseudodi¤erence operators on weighted

spaces, and applications to discrete Schrödinger operators, Acta ApplicandueMath. 84: 55-96, 200479. V.S.Rabinovich, Essential spectrum of di¤erential operators and limit

operators. Applications to the Schrödinger operator. Dokladi Akademii NaukRosii, 2004, v. 399, No. 1, Translation in: Doklady Mathematics, v.204, No.3,p.852-856, 200480. V.Rabinovich, B-W. Schulze, and N. Tarkhanov, Boundary value prob-

lems in domains with cuspidal edges, Rocky Mountain J. of Math. vol. 34, No.4, 2004, pp. 1397-1469 (72 p.)81. V. Rabinovich, Essential spectrum of perturbed pseudodi¤erential op-

erators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators,Russian Journal of Math. Physics, Vol.12, No.1, 2005, p. 62-8082. V.S. Rabinovich, On the essential spectrum of electromagnetic Schrödinger

operators, Contemporary Mathematics, Vol. 382, 2005, p. 331-34283. V. Rabinovich, N.Samko, S. Samko, Local Fredholm Properties of Singu-

lar Integral Operators on Carleson Curves Acting on Weighted Holder Spaces,Integral Equation and Operator Theory. Online First, 2005, Birkhauser VerlagBasel/Switzerland, DOI 10.1007/s00020-005-1414-0, 56 (2006), 253-283

16

84. V.S. Rabinovich, S. Roch, Fredholmness of Pseudodi¤erence Operatorsin Weighted Spaces, Functional Analysis and its Applications, vol. 40, No.1,2006, pp. 70-72, Translated from Functionalniy Analiz i Ego Prilojenia, Vol.40,No.1, pp.86-89, 200685. V.S. Rabinovich, Essential Spectrum and Exponential Estimates of Per-

turbed Pseudodi¤erential Operators, Izvestia Vuzov, Severo-Kavkazskiy Region.Estestvennie Nauki. 2006 Issue deducated to 70-birthday of Professor I.B. Si-monenko86. V.S. Rabinovich, S. Roch, Reconstruction of input signals in time-

varying �lters, Numerical Functional Analysis and Optimization, 27 (5-6):697-720, 2006, Taylor and Francis Group87. V.S. Rabinovich, S. Roch, The essential spectrum of Schrödinger oper-

ators on lattice, Journal of Physics A, Math. Theor. 39 (2006) 8377-839488. V.S. Rabinovich, S. Roch, The Fredholm index of locally compact band-

dominated operators on Lp(Rn); Integral Equ.Oper.Theory, ISSN 0378-620X,Online First, 2006, Birkhauser Verlag Basel/Switzerland, DOI 10.1007/s0020-006-1456-y, p.1-19, 57 (2007), 263-28189. R. M. Perez, V. Rabinovich, and I. M. Sanchez, Adiabatic Approxi-

mation of the Green Function of the Helmholtz Operator in Almost Strati�edMedias, ISSN 1061-9208, Russian Journal of Mathematical Physics, Vol. 14,No. 2, 2007, pp. 201�212.90. V.S. Rabinovich, S. Roch, Essential spectra of di¤erence operators on

Zn-periodic graphs, J. of Physics A: Math. Theor. ISSN 1751-8113, 40 (2007)10109�1012891. V.S. Rabinovich, S.G. Samko, Essential Spectra of Pseudodi¤erential

Operators in Sobolev Spaces with Variable Smoothness and Variable LebesgueIndices, ISSN 1064-5624, Doklady Mathematics, 2007, vol. 76, No.3, pp 835-838(Original Russian Text in Dokl. AN Rossii 2007, vol. 417, No.2, 167-170)92. V. Rabinovich, S. Samko, Boundedness and Fredholmness of pseudodif-

ferential operators in variable exponent spaces, Integral Equations ans Operatortheory, 2008, Birkhauser Verlag/ Switzerland, DOI 10.1007/s00020-008-1566-993. V.Rabinovich, Invertibility of parabolic pseudodi¤erential operators,

Fields Institute Communications, Vol.51, 2007, p.201-21294. Ya. Lutsky, V. Rabinovich, Invertibility of parabolic pseudodi¤erential

operators with rapidly increasing symbols, Russian Journal of MathematicalPhysics, vol.15, No.2, pp.201-220, 200895. Ya. Lutsky, V. Rabinovich, Parabolic pseudodi¤erential operators in

exponential weighted spaces, Contemporary Mathematics, vol. 455, 2008, pp.279-29596. V. Rabinovich, S. Roch, Fredholm Properties of Band-dominated Op-

erators on Periodic Discrete Struc92. V. Rabinovich, S. Samko, Boundednessand Fredholmness of pseudodi¤erential operators in variable exponent spaces,Integral Equations ans Operator theory, 2008, Birkhauser Verlag/ Switzerland,DOI 10.1007/s00020-008-1566-997. V. Rabinovich, S. Roch, Essential spectrum and exponential decay

estimates of elliptic systems of partial di¤erential equations, Applications to

17

Schrödinger and Dirac operators, Georgian Mathematical Journal, Volume 15(2008), Number 2, pp. 1�1998. V.S. Rabinovich, S. Roch, Exponential Estimates for Eigenfunctions

of Matrix Di¤erential Operators and Limit Operators. Doklady Mathematics,2009, Vol. 79, No. 1, pp. 66�69. c Pleiades Publishing, Ltd., 2009. ISSN1064�5624,Original Russian Text c V.S. Rabinovich, S. Roch, 2009, published in Dok-

lady Akademii Nauk, 2009, Vol. 424, No. 3, pp. 318�321.99. V. Rabinovich and S. Roch, Essential Spectrum of Di¤erence Operators

on Periodic Metric Spaces, Functional Analysis and Its Applications, Vol. 43,No. 2, 2009100. V.S. Rabinovich, S. Roch, Exponential Estimates for Eigenfunctions

of Matrix Di¤erential Operators and Limit Operators. Doklady Mathematics,2009, Vol. 79, No. 1, pp. 66�69. c Pleiades Publishing, Ltd., 2009. ISSN1064�5624,Original Russian Text c V.S. Rabinovich, S. Roch, 2009, published in Dok-

lady Akademii Nauk, 2009, Vol. 424, No. 3, pp. 318�321.101. V. Rabinovich, Local Exponential Estimates for h-Pseudodi¤erential

Operators and Tunneling for Schrödinger, Dirac, and Square Root Klein-GordonOperators, ISSN 1061-9208, Russian Journal of Mathematical Physics, Vol. 16,No. 2, 2009, pp. 201-210. c �Pleiades Publishing, Ltd., 2009.102. M. Quino-Cerdán, V. S. Rabinovich, Análisis de propagación de onda

acústica en océanos estrati�cados mediante el método de modos normales, Lat.Am. J. Phys. Educ. Vol. 3, No. 2, May 2009, pp. 452-459103. Ya. Lucky and V.S. Rabinovich, Exponential estimates of solutions of

parabolic pseudodi¤erential equations with discontinuous and growing symbols,Complex Variables and Elliptic Equations Vol. 54, No. 8, August 2009, 757�778104. V.Rabinovich, S.Roch, Esssential spectrum and exponential estimates

of eigenfunctions of the lattice operators of Schrödinger and Dirac, Dokl. ANRussia, 2009, v.428, 1, . 25�29105. V. Rabinovich, S. Roch, Essential spectra and exponential estimates

of eigenfunctions of lattice operators of quantum mechanics, J. Phys. A: Math.Theor. 42 (2009) 385207 (21pp), doi:10.1088/1751-8113/42/38/385207106. Vladimir Rabinovich and Manuel Quino Cerdan, Invertibility of Helmholtz

operators for nonhomogeneous medias, Mathematical Methods in Applied Sci-ences, (www.interscience.wiley.com) DOI: 10.1002/mma.1215, 2009, pp. 12107.V. Rabinovich, Exponential estimates of solutions of pseudodi¤eren-

tial equations on the lattice (hZ)n: applications to the lattice Schrödingerand Dirac operators, J. Pseudo-Di¤er. Oper. Appl. (2010) 1:233�253, DOI10.1007/s11868-010-0005-2108. Vladimir Rabinovich and Stefan Samko, Pseudodi¤erential Opera-

tors Approach to Singular Integral Operators in Weighted Variable ExponentLebesgue Spaces on Carleson Curves, Integr. Equ. Oper. Theory, DOI 10.1007/s00020-010-1848-x, Springer Basel AG 2010

18

13.4 Publicaciones en colecciones de artículos rusos conréfero

1. V.S.Rabinovich. On a C��algebra of pseudo-di¤erential operators. In thebook: Di¤erential and Integral Equations and their Applications. Rostov andKalmick. Univ. Elista, 1982 , p.147-1502. V.D. Kryakvin , V.S.Rabinovich. On Noether property of a boundary

value problems for a domain with non bounded boundary in spaces of Höldercontinuous with weight functions. In the book: Di¤erential and Integral Equa-tions and their Applications. Rostov and Kalmick. Univ. Elista, 1983, p. 79-863. B.V. Lange, V.S.Rabinovich. Discrete operators of convolution type with

oscillatory coe¢ cients. In the book: Di¤erential and Integral Equations andtheir Applications. Rostov and Kalmick. Univ. Elista, 1983, p.86-924. V.S.Rabinovich. Integral-di¤erence operators in the quarter-plane. In

the book: Integral and Di¤erential Equations and Approximate Methods ofSolutions. Elista, 1985, p.144-1495. R.G.Babadjanyan, V.S.Rabinovich. On factorization of almost-periodic

operator-functions. In the book: Integral and Di¤erential Equations and Com-plex Analysis. Elista, 1986, p.13-226. V.S.Rabinovich. On existence and uniqness of a solution of a problem of

propagation of acoustic waves in a two-layered non-homogeneous �uid. Math-ematical Methods in Applied Acoustics, 1986, Izd. Rostov State University,107-1127. V.S.Rabinovich, O.N.Shamaylo. On solvability of some operator equa-

tions. Di¤erential and Integral Equations and Complex Analysis. Elista, 1988,p.98-1078. V.S.Rabinovich. The limiting absorption principle for a class of second

order di¤erential operators. Complex analysis, Di¤erential and Integral Equa-tions. Elista, 1990, p.113-1199. V.S.Rabinovich. On spectral properties of a di¤erence model the acoustic

operator in a non homogeneous half-space. Mathematical Methods in AppliedAcoustics, V. 2, 1990, Izd. Rostov State University, p. 163-166.10. V.S.Rabinovich. The limiting absorption principle for a class of sec-

ond order di¤erential operators. Complex analysis, Di¤erential and IntegralEquations. Elista, 1990, p.113-11911. V.S.Rabinovich, O.N. Shamaylo. On solvability of the Helmholtz equa-

tion in a non-homogeneous layer. Mathematical Methods in Applied Acoustics,V. 2, 1990, Rostov State University, p. 120-12612. O.A. Obresanova, V.S.Rabinovich. Asymptotic solution of the di¤rac-

tion problem for a wave equation. In the book: Integro-Di¤erential Operators,Rostov-on-Don, 1997.

19

13.5 Participación como ponente en Congresos Interna-cionales

1. Conference International: Analysis on Manifolds with Singularities, Breiten-brunn, Germany, May, 1990.Topic of presentation: Spectral and scattering theory for acoustic operator

in non-homogeneous �uids.2. Conference International : Singular Integral and Pseudo-Di¤erential op-

erators, Obervolfach, Germany, January, 1994.Topic of Presentation: Method of limit operators.3. Conference International: Partial Di¤erential Equations, Holzhau, July,

1994, GermanyTopic of presentation: Mellin pseudo-di¤erential operators with operator

symbols and its applications.4.Conference International: International Congress of Industrial and Applied

Mathematics, Hamburg, 1995.Topic of Presentation: Elliptic boundary value problems in domains with

�bed�singularities on a boundary.5.Conference International: Operator Theory for Complex and Hypercom-

plex Analysis, Mexico-City, December, 1994.Topic of Presentation: Limit operators method and its applications.6.Conference International: Partial Di¤erential Equations, 1995, Potsdam,

Germany.Topic of presentation: Exponential estimates for solutions of boundary value

problems on non-compact manifolds. Fragmen-Lindelef type theorems.7. International Workshop on Operator Theory and Applications. July 31-

August 4, 1995, Regensburg, GermanyTopic of Presentation: Banach algebra of singular integral operators on com-

posed contours with whirl points.8. Conference International: Partial Di¤erential Equations, Jule 29 - August

3, 1996, Potsdam, Germany.Topic of Presentation: Elliptic boundary value problems in domains with

whirl points on the boundary.9. Workshop on General Theory of Partial Di¤erential Equations and Mi-

crolocal Analysis, Triest, ISTP, 4-15 September, 1995Topic of Presentation: Local and microlocal invertibility of pseudodi¤erential

operators and limit operators method.10. Conference International: NATO Advanced Studies Institute �Microlo-

cal Analysis and Spectral Theory�23 Sept.-3 Oct.1996, ItalyTopic of Presentation: Pseudodi¤erential operators with analytical symbols

and its applications.11. Conference International: Annual Congress of GAMM, 23-27 March,

1997 Regensburg, GermanyTopic of Presentation:1. Scattering of acoustic waves generated by a moving source (coauthor

O.Obresanova).

20

2. Elasticity problems in domains with non Lipschitz boundary.12. International Congress of Mathematicians, Berlin , 19-28 August 1998,

Chair of the section: Partial Di¤erential equations.Topic of Presentation: Elliptic boundary value problems in domains with

non Lipschitz boundary.13. Workshop �Partial di¤erential equations� , Potsdam, Germany, 10-15

August 1998. Topic of Presentation: Boundary values problems in domains withcuspidal wedges.14. 11.TMP , International Conference on Recent Advances in Analytical

and Numerical Treatment of Operator Theory in memory of Prof. SiegfriedPrössdorf, Murch 225-28,1999, Chemnitz, Germany. Invited lecture: Operatorsof potential type on curves with vorticity points.15. Workshop �Partial Di¤erential Equations� (July 19-23, 1999), Pots-

dam, Germany. Invited lecture: Boundary value problems in domains withintersecting edges.16. II Taller �Anális: Norte-Sur�, 8-10 de noviembre de 1999.17. International Congress on Nonlinear Analysis, Catania, Italia, 19-25

July, 2000. Invited lecture: �Boundary Value Problem in non-Lipschitz Do-mains�.18. International Conference �Partial Di¤erential Equations-2000�, Clausthal,

Germany, July 24-28, 2000, Invited lecture: Finite sections method for boundaryvalue problems in unbounded domains".Title: �Finite section method for partial di¤erential equations in domains

with conical points�19. International Conference �IWOTA-Portugal-2000�, Faro, Portugal, 12-

15 September 2000, Invited lecture: Limit operator method for band-dominatedoperators and pseudodi¤erential operators.20. International Conference: New trends in Potential Theory and Applica-

tions, March 26-30, 2001, Bielefeld, Alemania21. International Conference �Toeplitz Operators�, Chemnitz, Alemania,

April, 2001 devoted to 60 Birthday of Prof. B. Silbermann, Invited lecture:Multidimensional singular integral equations in domains with singular pointson the boundary21. International Conference �Second International Conference of Semi-

groups of Operators, Theory and Applications�, Rio-de Janeiro, Brasil, Sep-tember, 10-14, 200121. International Symposium on Topics in Mathematical Physics, 28-30 May,

2001, CIMAT, Guanajuato, Mexico22. International Conference �Q-Math-8� Mathematical results in Quantum

Mecanics�, Taxco, Mexico, 10-14 December, 200123. International Conference � Factorization, Singular Integral Operators

and Related Topics�, Madeira, Portugal, January 28- February 4, 2002, Invitedlecture: Integral operators with shifts on homogeneous groups.24. International Conference �Di¤erential and Di¤erential-Di¤erence Equa-

tions�, Moskow, Russia, August , 10-17, 2002 ,

21

25. 4-th WSEAS Conference on Mathematics and Computers in Physics,Cancun, Mexico, May 12-16, 200226. 1 Joint Meeting of Acoustic Seciety of America, Iberoamerican Federa-

tion of Acoustics, Mexican Institute of Acouastics, Cancun, Mexico, December,2-´7 , 200227. International Conference: Complex Analysis and Dynamical Sistems, Ju-

nio, 2003, Invited lecture: Exponential estimates of eigenfunctions of Schrödingeroperators with rapidly increasing and discontinuous potentials28. International Conference: Days of Di¤ractions, Junio, 2003, St-Petersburg,

Russia29. International Conference: Pseudodi¤erential Operators and Related

Topics, Sweeden, Junio, 2004, Invited lecture: Essential spectrum of ellipticpseudodi¤erential operators.30. International Conference: IWOTA, 2004, Newcasltle, England, August

2004, Invited lecture: Limit operators, Fredholm property and Essential spec-trum pseudodi¤erential operators.31. International Conference: Day of Di¤raction, Junio 2004, S-Petersburg,

Russia, Junio, 2005,32. Intenational Congress: ISAAC 2005, Cicilia, Italy, 2005, Invited lecture:

Potential type operators on the curve with vorticity points in the Hölder spaces.33. International Conference: Complex Analysis & Dynamical Systems,

Israel, Enero, 2006, Essential spectrum and estimates of the eigenfunctions ofthe discrete Schrödinger operators.34. International Conference on Numerical Analysis and Applied Mathe-

matics, Crete, Greece, Sept., 200635. International Conference: Pseudodi¤erential Operators and Time-Frequency

Analysis, Deciembere, 2006, Invited lecture: Reconstruction of the input signalsand pseudodi¤erential operators.36. International Conference: Applied Mathematical Analysis, Queretaro,

Mexico, Abril 2007, Invited lecture: Limit operators and their applications inthe Mathematical Physics.37. International Conference: Joint Congeress of American and Mexican

Mathematical Societies, Zacatecos, Mexico, May 2007, two invited lectures: 1)Exponential estimates of eigenfunctions of Schrödinger and Dirac operators andlimit operators. 2) Band-dominated operators on non-commutative groups.38. International Conference: Lyapunov Memorial Conference, Kharkov,

Ucrania, Junio 200739. International Conference on Numerical Analysis and Applied Mathe-

matics, Korfu, Greece, Sept. 2007

Dr. Vladimir Rabinovitch Likhtman 30. 12. 2007

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