# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 209 Publications since 1967, including 4 Books Reviewing Activity: 97 Reviews Biographic References: 2 Publications
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#### Co-Authors

 101 single-authored 33 Roch, Steffen 9 Burlak, Gennadiy 8 Karlovich, Yuri I. 7 Barrera-Figueroa, Victor 7 Lange, B. V. 7 Silbermann, Bernd 6 Lutskij, Ya. A. 6 Samko, Stefan Grigorievich 6 Schulze, Bert-Wolfgang 6 Tarkhanov, Nikolai N. 4 Böttcher, Albrecht 4 Kravchenko, Vladislav V. 4 Vasilevski, Nikolai Leonidovich 3 Babadzhanyan, R. G. 3 Hernández-Juárez, Josué 3 Kryakvin, Vadim Donatovich 3 Urbano-Altamirano, Francisco 2 Castillo Pérez, Raúl 2 Gohberg, Israel 2 Grudsky, Sergei Mikhailovich 2 Levendorskiĭ, Sergeĭ Zakharovich 2 Oviedo-Galdeano, Héctor 1 Babich, Vasiliĭ Mikhaĭlovich 1 Buldyrev, V. S. 1 Cerdan, Manuel Quino 1 Chernous’ko, Feliks Leonidovich 1 Díaz-de-Anda, A. 1 Dobrokhotov, Sergei Yurievich 1 Duduchava, Roland 1 Erusalimskii, Yakov 1 Erusalimsky, Ya. M. 1 Escamilla Reyna, Juan Alberto 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Gontmakher, I. M. 1 Hernandez Juarez, J. R. 1 Kaloshin, V. A. 1 Karapetyants, Alexey N. 1 Khmelnytskaya, Kira V. 1 Kilbas, Anatoliĭ Aleksandrovich 1 Klimov, Dmitrij M. 1 Kokilashvili, Vakhtang Mikhailovich 1 Kostyukovich, M. N. 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Lange, Bruno 1 Lindner, Marko 1 Lukin, Dmitry S. 1 Lyalinov, Mikhail Anatolievich 1 Martínez-Sánchez, Erika 1 Maslov, Viktor Pavlovich 1 Mendoza Torres, Francisco Javier 1 Merzon, Anatoli E. 1 Molotkov, I. A. 1 Obrezanova, Olga A. 1 Pavlov, Boris Sergeevich 1 Pérez, R. M. 1 Popov, Aleksandr Leonidovich 1 Roe, John 1 Rosas, Miguel Maldonado 1 Samko, Natasha 1 Sánchez Perales, Salvador 1 Sánchez, Isabel María 1 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 1 Shafarevich, Andreĭ Igorevich 1 Sturova, Izolda V. 1 Vega Alcantar, Aura Jazmine 1 Vishik, Marko Iosifovich
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#### Serials

 13 Russian Journal of Mathematical Physics 12 Integral Equations and Operator Theory 10 Communications in Mathematical Analysis 9 Mathematical Methods in the Applied Sciences 9 Functional Analysis and its Applications 8 Doklady Mathematics 7 Mathematical Notes 7 Soviet Mathematics. Doklady 7 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 6 Applicable Analysis 6 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 5 Zeitschrift für Analysis und ihre Anwendungen 5 Complex Variables and Elliptic Equations 4 Matematicheskiĭ Sbornik. Novaya Seriya 4 Mathematics of the USSR, Sbornik 3 Differential Equations 3 Soviet Mathematics 3 Journal of Physics A: Mathematical and Theoretical 3 Operator Theory: Advances and Applications 2 Matematicheskie Zametki 2 Manuscripta Mathematica 2 Acta Applicandae Mathematicae 2 Russian Academy of Sciences. Doklady. Mathematics 2 Georgian Mathematical Journal 2 Memoirs on Differential Equations and Mathematical Physics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Akademiya Nauk Armyanskoĭ SSR. Doklady 1 Differentsial’nye Uravneniya 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Journal of Operator Theory 1 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Estestvennye Nauki 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Izvestiya: Mathematics 1 Fractional Calculus & Applied Analysis 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Journal of Pseudo-Differential Operators and Applications
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#### Fields

 126 Operator theory (47-XX) 102 Partial differential equations (35-XX) 24 Integral equations (45-XX) 22 Functional analysis (46-XX) 18 Quantum theory (81-XX) 14 Ordinary differential equations (34-XX) 14 Optics, electromagnetic theory (78-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Difference and functional equations (39-XX) 4 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

119 Publications have been cited 629 times in 265 Documents Cited by Year
Limit operators and their applications in operator theory. Zbl 1077.47002
Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd
2004
Fredholm theory and finite section method for band-dominated operators. Zbl 0909.47023
Rabinovich, V. S.; Roch, S.; Silbermann, B.
1998
Fredholm indices of band-dominated operators. Zbl 1068.47016
Rabinovich, Vladimir S.; Roch, Steffen; Roe, John
2004
Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051
Rabinovich, V. S.; Roch, S.; Silbermann, B.
2001
Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators. Zbl 1153.47042
Rabinovich, V. S.
2005
Essential spectra of difference operators on $${\mathbb Z}^n$$-periodic graphs. Zbl 1128.81011
2007
The method of limit operators for one-dimensional singular integrals with slowly oscillating data. Zbl 0993.47026
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2000
The essential spectrum of Schrödinger operators on lattices. Zbl 1097.81029
2006
On the Noether property of multidimensional discrete convolution operators. Zbl 0569.47029
Lange, B. V.; Rabinovich, V. S.
1985
Dispersion equation and eigenvalues for quantum wells using spectral parameter power series. Zbl 1316.81023
2011
Acoustic field generated by moving sources in stratified waveguides. Zbl 1074.76609
Obrezanova, Olga A.; Rabinovich, Vladimir S.
1998
Boundedness and Fredholmness of pseudodifferential operators in variable exponent spaces. Zbl 1153.47043
2008
On finite sections of band-dominated operators. Zbl 1167.47015
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2008
Pseudo-differential operators on $$R^ n$$ and limit operators. Zbl 0611.47039
Lange, B. V.; Rabinovich, V. S.
1986
On the essential spectrum of quantum waveguides. Zbl 1264.35154
Rabinovich, V. S.; Castillo-Pérez, R.; Urbano-Altamirano, F.
2013
Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Zbl 0913.47046
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1998
Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics. Zbl 1180.81064
2009
On the essential spectrum of quantum graphs. Zbl 1384.34036
2017
Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points. Zbl 0895.47033
Rabinovich, V. S.
1996
Mellin pseudodifferential operators techniques in the theory of singular integral operators on some Carleson curves. Zbl 0906.47037
Rabinovich, V. S.
1998
The Fredholm index of locally compact band-dominated operators on $$L^p (\mathbb{R})$$. Zbl 1158.47008
2007
Essential spectrum and exponential decay estimates of solutions of elliptic systems of partial differential equations. Applications to Schrödinger and Dirac operators. Zbl 1154.47039
2008
Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators. Zbl 1082.39016
2004
Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062
2014
Pseudodifferential operators on periodic graphs. Zbl 1263.47063
2012
Exponential estimates for eigenfunctions of Schrödinger operators with rapidly increasing and discontinuous potentials. Zbl 1082.47041
Rabinovich, V. S.
2004
Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2001
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2001
Singular integral operators on complicated contours and pseudodifferential operators. Zbl 0853.47028
Rabinovich, V. S.
1995
Pseudodifferential operators with analytical symbols and some of its applications. Zbl 0863.35120
Rabinovich, V. S.
1995
Fredholm property of pseudodifferential operators on weighted Hölder-Zygmund spaces. Zbl 1104.35081
Rabinovich, V. S.
2006
Pseudodifferential operators on a class of noncompact manifolds. Zbl 0257.58009
Rabinovich, V. S.
1973
Wiener algebra of operators on the lattice $$(\mu \mathbb Z)^n$$ depending on the small parameter $$\mu > 0$$. Zbl 1295.47035
Rabinovich, V.
2013
Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052
Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S.
2003
$$C^\ast$$-algebras of singular integral operators in domains with oscillating conical singularities. Zbl 1063.47040
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2002
Pseudodifferential operators with analytic symbols and estimates for eigenfunctions of Schrödinger operators. Zbl 1029.35084
Rabinovich, V.
2002
Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2006
Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves. Zbl 1231.47049
2011
Noether property for multidimensional discrete convolution operators. Zbl 0623.47025
Lange, B. V.; Rabinovich, V. S.
1985
Fredholm property of pseudodifferential operators on $${\mathbb{R}}^ n$$ in the scale of the spaces $$L_{2,p}$$. Zbl 0667.47023
Rabinovich, V. S.
1988
Discrete operator convolutions and some of their applications. Zbl 0807.47006
Rabinovich, V. S.
1992
A calculus of boundary value problems in domains with non-Lipschitz singular points. Zbl 0966.35145
Rabinovich, Vladimir; Schulze, Bert-Wolfgang; Tarkhanov, Nikolai
2000
Mellin pseudodifferential operators with operator symbols and its applications. Zbl 0844.35148
Rabinovich, V. S.
1995
Essential spectra of pseudodifferential operators and exponential decay of their solutions. Applications to Schrödinger operators. Zbl 1159.47026
2008
Wiener algebras of operators, and applications to pseudodifferential operators. Zbl 1113.47307
2004
Essential spectrum of Schrödinger operators with $$\delta$$-interactions on unbounded hypersurfaces. Zbl 1381.35152
Rabinovich, V. S.
2017
The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2009
Exponential estimates of solutions of pseudodifferential equations on the lattice $$(h \mathbb Z)^n$$: applications to the lattice Schrödinger and Dirac operators. Zbl 1205.35350
Rabinovich, V.
2010
Schrödinger operators with interactions on unbounded hypersurfaces. Zbl 1426.35102
2019
A system of integral-difference equations on a half-line. Zbl 0601.45006
Babadzhanyan, R. G.; Rabinovich, V. S.
1985
Pseudodifferential operators on $${\mathbb{R}}^ n$$ and limit operators. Zbl 0658.47051
Lange, B. V.; Rabinovich, V. S.
1987
Finite sections of band operators with slowly oscillating coefficients. Zbl 1056.65054
Lindner, Marko; Rabinovich, Vladimir S.; Roch, Steffen
2004
Boundary value problems in oscillating cuspidal wedges. Zbl 1083.35151
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2004
Time-frequency integrals and the stationary phase method in problems of waves propagation from moving sources. Zbl 1277.78006
2012
Cauchy problem for parabolic differential-difference operators with variable coefficients. Zbl 0548.35115
Rabinovich, V. S.
1983
Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide. Zbl 1351.78027
2016
Potential type operators on curves with vorticity points. Zbl 0940.31002
Rabinovich, V.
1999
Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators. Zbl 0865.45003
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1996
Finite sections of band-dominated operators on discrete groups. Zbl 1248.65054
2012
On the solvability of differential -difference equations on $$R^n$$ and in a half-space. Zbl 0416.35078
Rabinovich, V. S.
1978
Pseudodifferential operators in weighted Hölder-Zygmund spaces of variable smoothness. Zbl 06731161
2017
Effective numerical method of spectral analysis of quantum graphs. Zbl 1370.81074
2017
The method of potential operators for anisotropic Helmholtz operators on domains with smooth unbounded boundaries. Zbl 1381.47034
2017
On Noetherian multidimensional convolution operators with bounded measurable coefficients. Zbl 0594.47011
Lange, B. V.; Rabinovich, V. S.
1985
On the Fredholmness of pseudodifferential operators on $${\mathbb{R}}^ n$$ in the scale of the spaces $$L_{2,p}$$. Zbl 0656.47045
Rabinovich, V. S.
1988
Quasi-elliptic pseudodifferential operators and the Cauchy problem for parabolic equations. Zbl 0255.35079
Rabinovich, V. S.
1971
Diffraction by periodic graphs. Zbl 1294.78006
2014
Transmission problems for conical and quasi-conical at infinity domains. Zbl 1326.35121
2015
Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean. Zbl 1327.76128
2015
Propagation of electromagnetic waves generated by modulated moving source in dispersive lossy media. Zbl 1334.78022
Burlak, G.; Rabinovich, V.
2015
Exponential estimates for eigenfunctions of matrix elliptic differential operators and limit operators. Zbl 1256.35038
Rabinovich, V. S.; Roch, S.
2009
Essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1236.47047
Rabinovich, V. S.
2011
Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices. Zbl 1412.81142
2019
The Fredholm property and essential spectra of pseudodifferential operators on non-compact manifolds and limit operators. Zbl 1386.58011
Rabinovich, V.
2015
On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols. Zbl 0992.45008
Karapetyants, A. N.; Rabinovich, V. S.; Vasilevski, N. L.
2001
Bergman, Toeplitz and pseudodifferential operators. Zbl 0948.47032
Rabinovich, V.; Vasilevski, N.
2000
Criterion for local invertibility of pseudodifferential operators with operator symbols and some applications. Zbl 0985.35121
Rabinovich, V. S.
1998
Propagation of electromagnetic waves generated by moving sources in dispersive media. Zbl 1252.78017
2012
Parabolic pseudodifferential operators in exponential weighted spaces. Zbl 1158.35436
Lutsky, Ya.; Rabinovich, V. S.
2008
Essential spectra of pseudodifferential operators in Sobolev spaces with variable smoothness and variable Lebesgue indices. Zbl 1169.35066
Rabinovich, V. S.; Samko, S. G.
2007
Time-frequency integrals and the stationary phase method in problems of acoustic waves propagation from moving sources. Zbl 1259.35165
Burlak, G.; Hernandez Juarez, J. R.; Rabinovich, V.
2013
Numerical estimates of acoustic fields in the Ocean generated by moving airborne sources. Zbl 1369.76052
2017
Integral equations of diffraction problems with unbounded smooth obstacles. Zbl 1335.35048
2016
Numerical calculation of the discrete spectra of one-dimensional Schrödinger operators with point interactions. Zbl 07124126
2019
Exponential estimates of solutions of pseudodifferential equations with operator-valued symbols: applications to Schrödinger operators with operator-valued potentials. Zbl 1233.35209
Rabinovich, V. S.; Roch, S.
2011
Systems of integral-difference equations in a half-space. Zbl 0635.45012
Babadzhanyan, R. G.; Rabinovich, V. S.
1987
Reconstruction of input signals in time-varying filters. Zbl 1105.93023
Rabinovich, V. S.; Roch, S.
2006
Pseudodifferentialgleichungen in unbeschränkten Gebieten mit Kegelstruktur im Unendlichen. Zbl 0182.18702
Rabinovich, V. S.
1969
Pseudodifferential equations in unbounded regions. Zbl 0229.35076
Rabinovich, V. S.
1971
Fredholmness of convolution type operators. Zbl 1052.45005
2004
Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves. Zbl 1275.42023
Rabinovich, V. S.; Samko, S. G.
2012
Electromagnetic fields in dispersive chiral media generated by modulated nonuniformly moving sources. Zbl 1276.78005
Kravchenko, V. V.; Oviedo-Galdeano, H.; Rabinovich, V. S.
2013
Asymptotics of the far field generated by a modulated point source in a planarly layered electromagnetic waveguide. Zbl 1334.78032
2015
Electromagnetic Schrödinger operators on periodic graphs with general conditions at vertices. Zbl 1422.35025
Rabinovich, V.
2019
On the essential spectrum of electromagnetic Schrödinger operators. Zbl 1184.35122
Rabinovich, V. S.
2005
Pseudodifferential operators on Besov spaces of variable smoothness. Zbl 1409.35242
Kryakvin, V. D.; Rabinovich, V. S.
2018
Singular integral operators on a complex contour with oscillating tangent, and pseudodifferential Mellin operators. Zbl 0801.47038
Rabinovich, V. S.
1991
Local algebra of a non-symmetric corner. Zbl 0994.35127
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2001
Local theory of the Fredholmness of band-dominated operators with slowly oscillating coefficients. Zbl 1033.47011
2002
Pseudodifferential operators with operator symbols: Local invertibility and limit operators. Zbl 0859.35147
Rabinovich, V. S.
1994
Schrödinger operators with interactions on unbounded hypersurfaces. Zbl 1426.35102
2019
Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices. Zbl 1412.81142
2019
Numerical calculation of the discrete spectra of one-dimensional Schrödinger operators with point interactions. Zbl 07124126
2019
Electromagnetic Schrödinger operators on periodic graphs with general conditions at vertices. Zbl 1422.35025
Rabinovich, V.
2019
Pseudodifferential operators on Besov spaces of variable smoothness. Zbl 1409.35242
Kryakvin, V. D.; Rabinovich, V. S.
2018
On the essential spectrum of quantum graphs. Zbl 1384.34036
2017
Essential spectrum of Schrödinger operators with $$\delta$$-interactions on unbounded hypersurfaces. Zbl 1381.35152
Rabinovich, V. S.
2017
Pseudodifferential operators in weighted Hölder-Zygmund spaces of variable smoothness. Zbl 06731161
2017
Effective numerical method of spectral analysis of quantum graphs. Zbl 1370.81074
2017
The method of potential operators for anisotropic Helmholtz operators on domains with smooth unbounded boundaries. Zbl 1381.47034
2017
Numerical estimates of acoustic fields in the Ocean generated by moving airborne sources. Zbl 1369.76052
2017
Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide. Zbl 1351.78027
2016
Integral equations of diffraction problems with unbounded smooth obstacles. Zbl 1335.35048
2016
Transmission problems for conical and quasi-conical at infinity domains. Zbl 1326.35121
2015
Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean. Zbl 1327.76128
2015
Propagation of electromagnetic waves generated by modulated moving source in dispersive lossy media. Zbl 1334.78022
Burlak, G.; Rabinovich, V.
2015
The Fredholm property and essential spectra of pseudodifferential operators on non-compact manifolds and limit operators. Zbl 1386.58011
Rabinovich, V.
2015
Asymptotics of the far field generated by a modulated point source in a planarly layered electromagnetic waveguide. Zbl 1334.78032
2015
Boundary problems for domains with conical exits at infinity and limit operators. Zbl 1312.35072
Rabinovich, V.
2015
Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062
2014
Diffraction by periodic graphs. Zbl 1294.78006
2014
Acoustic diffraction problems on periodic graphs. Zbl 1316.35097
Rabinovich, V. S.
2014
The structure of the Cherenkov field emission in metamaterials. Zbl 1327.78004
2014
Application of the SPPS method to the one-dimensional quantum scattering. Zbl 1320.81088
Rabinovich, V.; Urbano-Altamirano, F.
2014
On the essential spectrum of quantum waveguides. Zbl 1264.35154
Rabinovich, V. S.; Castillo-Pérez, R.; Urbano-Altamirano, F.
2013
Wiener algebra of operators on the lattice $$(\mu \mathbb Z)^n$$ depending on the small parameter $$\mu > 0$$. Zbl 1295.47035
Rabinovich, V.
2013
Time-frequency integrals and the stationary phase method in problems of acoustic waves propagation from moving sources. Zbl 1259.35165
Burlak, G.; Hernandez Juarez, J. R.; Rabinovich, V.
2013
Electromagnetic fields in dispersive chiral media generated by modulated nonuniformly moving sources. Zbl 1276.78005
Kravchenko, V. V.; Oviedo-Galdeano, H.; Rabinovich, V. S.
2013
On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity. Zbl 1316.35096
Rabinovich, V.
2013
Pseudodifferential operators on periodic graphs. Zbl 1263.47063
2012
Time-frequency integrals and the stationary phase method in problems of waves propagation from moving sources. Zbl 1277.78006
2012
Finite sections of band-dominated operators on discrete groups. Zbl 1248.65054
2012
Propagation of electromagnetic waves generated by moving sources in dispersive media. Zbl 1252.78017
2012
Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves. Zbl 1275.42023
Rabinovich, V. S.; Samko, S. G.
2012
Dispersion equation and eigenvalues for quantum wells using spectral parameter power series. Zbl 1316.81023
2011
Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves. Zbl 1231.47049
2011
Essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1236.47047
Rabinovich, V. S.
2011
Exponential estimates of solutions of pseudodifferential equations with operator-valued symbols: applications to Schrödinger operators with operator-valued potentials. Zbl 1233.35209
Rabinovich, V. S.; Roch, S.
2011
Local exponential estimates for $$h$$-pseudo-differential operators with operator-valued symbols. Zbl 1247.35213
Rabinovich, V. S.
2011
Pseudodifferential operators with operator valued symbols. Fredholm theory and exponential estimates of solutions. Zbl 1388.35237
2011
Fredholm property and essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1222.47074
2011
Algebras of pseudodifferential operators with discontinuous oscillating symbols. Zbl 1218.47135
Karlovich, Yu. I.; Rabinovich, V. S.; Vasilevski, N. L.
2011
Exponential estimates of solutions of pseudodifferential equations on the lattice $$(h \mathbb Z)^n$$: applications to the lattice Schrödinger and Dirac operators. Zbl 1205.35350
Rabinovich, V.
2010
Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics. Zbl 1180.81064
2009
The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2009
Exponential estimates for eigenfunctions of matrix elliptic differential operators and limit operators. Zbl 1256.35038
Rabinovich, V. S.; Roch, S.
2009
Essential spectrum and exponential estimates of eigenfunctions of lattice Schrödinger and Dirac operators. Zbl 1187.35031
Rabinovich, V. S.; Roch, S.
2009
Boundedness and Fredholmness of pseudodifferential operators in variable exponent spaces. Zbl 1153.47043
2008
On finite sections of band-dominated operators. Zbl 1167.47015
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2008
Essential spectrum and exponential decay estimates of solutions of elliptic systems of partial differential equations. Applications to Schrödinger and Dirac operators. Zbl 1154.47039
2008
Essential spectra of pseudodifferential operators and exponential decay of their solutions. Applications to Schrödinger operators. Zbl 1159.47026
2008
Parabolic pseudodifferential operators in exponential weighted spaces. Zbl 1158.35436
Lutsky, Ya.; Rabinovich, V. S.
2008
Fredholm properties of band-dominated operators on periodic discrete structures. Zbl 1191.47039
2008
Invertibility of parabolic pseudodifferential operators with rapidly increasing symbols. Zbl 1181.35356
Lutsky, Ya.; Rabinovich, V. S.
2008
Essential spectra of difference operators on $${\mathbb Z}^n$$-periodic graphs. Zbl 1128.81011
2007
The Fredholm index of locally compact band-dominated operators on $$L^p (\mathbb{R})$$. Zbl 1158.47008
2007
Essential spectra of pseudodifferential operators in Sobolev spaces with variable smoothness and variable Lebesgue indices. Zbl 1169.35066
Rabinovich, V. S.; Samko, S. G.
2007
The essential spectrum of Schrödinger operators on lattices. Zbl 1097.81029
2006
Fredholm property of pseudodifferential operators on weighted Hölder-Zygmund spaces. Zbl 1104.35081
Rabinovich, V. S.
2006
Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2006
Reconstruction of input signals in time-varying filters. Zbl 1105.93023
Rabinovich, V. S.; Roch, S.
2006
Local Fredholm spectra and Fredholm properties of singular integral operators on Carleson curves acting on weighted Hölder spaces. Zbl 1135.42314
Rabinovich, Vladimir; Samko, Natasha; Samko, Stefan
2006
Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators. Zbl 1153.47042
Rabinovich, V. S.
2005
On the essential spectrum of electromagnetic Schrödinger operators. Zbl 1184.35122
Rabinovich, V. S.
2005
Limit operators and their applications in operator theory. Zbl 1077.47002
Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd
2004
Fredholm indices of band-dominated operators. Zbl 1068.47016
Rabinovich, Vladimir S.; Roch, Steffen; Roe, John
2004
Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators. Zbl 1082.39016
2004
Exponential estimates for eigenfunctions of Schrödinger operators with rapidly increasing and discontinuous potentials. Zbl 1082.47041
Rabinovich, V. S.
2004
Wiener algebras of operators, and applications to pseudodifferential operators. Zbl 1113.47307
2004
Finite sections of band operators with slowly oscillating coefficients. Zbl 1056.65054
Lindner, Marko; Rabinovich, Vladimir S.; Roch, Steffen
2004
Boundary value problems in oscillating cuspidal wedges. Zbl 1083.35151
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2004
Fredholmness of convolution type operators. Zbl 1052.45005
2004
Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052
Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S.
2003
$$C^\ast$$-algebras of singular integral operators in domains with oscillating conical singularities. Zbl 1063.47040
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2002
Pseudodifferential operators with analytic symbols and estimates for eigenfunctions of Schrödinger operators. Zbl 1029.35084
Rabinovich, V.
2002
Local theory of the Fredholmness of band-dominated operators with slowly oscillating coefficients. Zbl 1033.47011
2002
Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051
Rabinovich, V. S.; Roch, S.; Silbermann, B.
2001
Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2001
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2001
On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols. Zbl 0992.45008
Karapetyants, A. N.; Rabinovich, V. S.; Vasilevski, N. L.
2001
Local algebra of a non-symmetric corner. Zbl 0994.35127
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2001
The method of limit operators for one-dimensional singular integrals with slowly oscillating data. Zbl 0993.47026
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2000
A calculus of boundary value problems in domains with non-Lipschitz singular points. Zbl 0966.35145
Rabinovich, Vladimir; Schulze, Bert-Wolfgang; Tarkhanov, Nikolai
2000
Bergman, Toeplitz and pseudodifferential operators. Zbl 0948.47032
Rabinovich, V.; Vasilevski, N.
2000
Potential type operators on curves with vorticity points. Zbl 0940.31002
Rabinovich, V.
1999
Fredholm theory and finite section method for band-dominated operators. Zbl 0909.47023
Rabinovich, V. S.; Roch, S.; Silbermann, B.
1998
Acoustic field generated by moving sources in stratified waveguides. Zbl 1074.76609
Obrezanova, Olga A.; Rabinovich, Vladimir S.
1998
Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Zbl 0913.47046
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1998
Mellin pseudodifferential operators techniques in the theory of singular integral operators on some Carleson curves. Zbl 0906.47037
Rabinovich, V. S.
1998
Criterion for local invertibility of pseudodifferential operators with operator symbols and some applications. Zbl 0985.35121
Rabinovich, V. S.
1998
$$C^*$$-algebras of pseudodifferential operators and limit operators. Zbl 0897.35083
Rabinovich, V. S.
1998
Elliptic boundary value problems in domains with whirl points on the boundary. Zbl 0946.35024
1997
Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points. Zbl 0895.47033
Rabinovich, V. S.
1996
Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators. Zbl 0865.45003
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1996
Singular integral operators on complicated contours and pseudodifferential operators. Zbl 0853.47028
Rabinovich, V. S.
1995
Pseudodifferential operators with analytical symbols and some of its applications. Zbl 0863.35120
Rabinovich, V. S.
1995
Mellin pseudodifferential operators with operator symbols and its applications. Zbl 0844.35148
Rabinovich, V. S.
1995
Pseudodifferential operators with operator symbols: Local invertibility and limit operators. Zbl 0859.35147
Rabinovich, V. S.
1994
Discrete operator convolutions and some of their applications. Zbl 0807.47006
Rabinovich, V. S.
1992
Singular integral operators on a complex contour with oscillating tangent, and pseudodifferential Mellin operators. Zbl 0801.47038
Rabinovich, V. S.
1991
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#### Cited by 216 Authors

 157 Operator theory (47-XX) 91 Partial differential equations (35-XX) 57 Functional analysis (46-XX) 33 Ordinary differential equations (34-XX) 25 Quantum theory (81-XX) 23 Integral equations (45-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Numerical analysis (65-XX) 18 Global analysis, analysis on manifolds (58-XX) 14 Optics, electromagnetic theory (78-XX) 10 Functions of a complex variable (30-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Combinatorics (05-XX) 7 Fluid mechanics (76-XX) 6 Difference and functional equations (39-XX) 6 Abstract harmonic analysis (43-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Systems theory; control (93-XX) 2 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)