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 Author ID: rabinovich.vladimir-s Published as: Rabinovich, V.; Rabinovich, V. S.; Rabinovich, Vladimir; Rabinovich, Vladimir S. External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · GND
 Documents Indexed: 206 Publications since 1967, including 4 Books Reviewing Activity: 97 Reviews Biographic References: 2 Publications
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#### Co-Authors

 97 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 Levendorskij, Serge Z. 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, A. L. 1 Popov, Alexander V. 1 Roe, John 1 Rosas, Miguel Maldonado 1 Samko, Natasha 1 Sanchez-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

 12 Integral Equations and Operator Theory 12 Russian Journal of Mathematical Physics 10 Communications in Mathematical Analysis 9 Functional Analysis and its Applications 8 Mathematical Methods in the Applied Sciences 8 Doklady Mathematics 7 Mathematical Notes 7 Soviet Mathematics. Doklady 7 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 6 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 5 Applicable Analysis 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

 124 Operator theory (47-XX) 100 Partial differential equations (35-XX) 24 Integral equations (45-XX) 21 Functional analysis (46-XX) 18 Quantum theory (81-XX) 14 Optics, electromagnetic theory (78-XX) 13 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 5 Difference and functional equations (39-XX) 5 Harmonic analysis on Euclidean spaces (42-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

118 Publications have been cited 623 times in 250 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
Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051
Rabinovich, V. S.; Roch, S.; Silbermann, B.
2001
Fredholm indices of band-dominated operators. Zbl 1068.47016
Rabinovich, Vladimir S.; Roch, Steffen; Roe, John
2004
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
Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators. Zbl 1153.47042
Rabinovich, V. S.
2005
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
On the essential spectrum of quantum waveguides. Zbl 1264.35154
Rabinovich, V. S.; Castillo-Pérez, R.; Urbano-Altamirano, F.
2013
Pseudo-differential operators on $$R^ n$$ and limit operators. Zbl 0611.47039
Lange, B. V.; Rabinovich, V. S.
1986
Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics. Zbl 1180.81064
2009
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 spectrum and exponential decay estimates of solutions of elliptic systems of partial differential equations. Applications to Schrödinger and Dirac operators. Zbl 1154.47039
2008
The Fredholm index of locally compact band-dominated operators on $$L^p (\mathbb{R})$$. Zbl 1158.47008
2007
Mellin pseudodifferential operators techniques in the theory of singular integral operators on some Carleson curves. Zbl 0906.47037
Rabinovich, V. S.
1998
Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points. Zbl 0895.47033
Rabinovich, V. S.
1996
On the essential spectrum of quantum graphs. Zbl 1384.34036
2017
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
Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators. Zbl 1082.39016
2004
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2001
Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2001
Pseudodifferential operators with analytical symbols and some of its applications. Zbl 0863.35120
Rabinovich, V. S.
1995
Singular integral operators on complicated contours and pseudodifferential operators. Zbl 0853.47028
Rabinovich, V. S.
1995
Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2006
Pseudodifferential operators with analytic symbols and estimates for eigenfunctions of Schrödinger operators. Zbl 1029.35084
Rabinovich, V.
2002
$$C^\ast$$-algebras of singular integral operators in domains with oscillating conical singularities. Zbl 1063.47040
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2002
Discrete operator convolutions and some of their applications. Zbl 0807.47006
Rabinovich, V. S.
1992
Pseudodifferential operators on a class of noncompact manifolds. Zbl 0257.58009
Rabinovich, V. S.
1973
Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves. Zbl 1231.47049
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
The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2009
Essential spectra of pseudodifferential operators and exponential decay of their solutions. Applications to Schrödinger operators. Zbl 1159.47026
2008
Fredholm property of pseudodifferential operators on weighted Hölder-Zygmund spaces. Zbl 1104.35081
Rabinovich, V. S.
2006
Wiener algebras of operators, and applications to pseudodifferential operators. Zbl 1113.47307
2004
Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052
Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S.
2003
Mellin pseudodifferential operators with operator symbols and its applications. Zbl 0844.35148
Rabinovich, V. S.
1995
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
Essential spectrum of Schrödinger operators with $$\delta$$-interactions on unbounded hypersurfaces. Zbl 1381.35152
Rabinovich, V. S.
2017
Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide. Zbl 1351.78027
2016
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 waves propagation from moving sources. Zbl 1277.78006
2012
Finite sections of band-dominated operators on discrete groups. Zbl 1248.65054
2012
Boundary value problems in oscillating cuspidal wedges. Zbl 1083.35151
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2004
Finite sections of band operators with slowly oscillating coefficients. Zbl 1056.65054
Lindner, Marko; Rabinovich, Vladimir S.; Roch, Steffen
2004
A calculus of boundary value problems in domains with non-Lipschitz singular points. Zbl 0966.35145
Rabinovich, Vladimir; Schulze, Bert-Wolfgang; Tarkhanov, Nikolai
2000
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
Pseudodifferential operators on $${\mathbb{R}}^ n$$ and limit operators. Zbl 0658.47051
Lange, B. V.; Rabinovich, V. S.
1987
Noether property for multidimensional discrete convolution operators. Zbl 0623.47025
Lange, B. V.; Rabinovich, V. S.
1985
A system of integral-difference equations on a half-line. Zbl 0601.45006
Babadzhanyan, R. G.; Rabinovich, V. S.
1985
Cauchy problem for parabolic differential-difference operators with variable coefficients. Zbl 0548.35115
Rabinovich, V. S.
1983
Schrödinger operators with interactions on unbounded hypersurfaces. Zbl 1426.35102
2019
The method of potential operators for anisotropic Helmholtz operators on domains with smooth unbounded boundaries. Zbl 1381.47034
2017
Effective numerical method of spectral analysis of quantum graphs. Zbl 1370.81074
2017
Pseudodifferential operators in weighted Hölder-Zygmund spaces of variable smoothness. Zbl 06731161
2017
The Fredholm property and essential spectra of pseudodifferential operators on non-compact manifolds and limit operators. Zbl 1386.58011
Rabinovich, V.
2015
Propagation of electromagnetic waves generated by modulated moving source in dispersive lossy media. Zbl 1334.78022
Burlak, G.; Rabinovich, V.
2015
Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean. Zbl 1327.76128
2015
Transmission problems for conical and quasi-conical at infinity domains. Zbl 1326.35121
2015
Diffraction by periodic graphs. Zbl 1294.78006
2014
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
Propagation of electromagnetic waves generated by moving sources in dispersive media. Zbl 1252.78017
2012
Essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1236.47047
Rabinovich, V. S.
2011
Exponential estimates for eigenfunctions of matrix elliptic differential operators and limit operators. Zbl 1256.35038
Rabinovich, V. S.; Roch, S.
2009
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
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
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
On Noetherian multidimensional convolution operators with bounded measurable coefficients. Zbl 0594.47011
Lange, B. V.; Rabinovich, V. S.
1985
On the solvability of differential -difference equations on $$R^n$$ and in a half-space. Zbl 0416.35078
Rabinovich, V. S.
1978
Quasi-elliptic pseudodifferential operators and the Cauchy problem for parabolic equations. Zbl 0255.35079
Rabinovich, V. S.
1971
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
Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices. Zbl 1412.81142
2019
Pseudodifferential operators on Besov spaces of variable smoothness. Zbl 1409.35242
Kryakvin, V. D.; Rabinovich, V. S.
2018
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
Asymptotics of the far field generated by a modulated point source in a planarly layered electromagnetic waveguide. Zbl 1334.78032
2015
Application of the SPPS method to the one-dimensional quantum scattering. Zbl 1320.81088
Rabinovich, V.; Urbano-Altamirano, F.
2014
The structure of the Cherenkov field emission in metamaterials. Zbl 1327.78004
2014
Acoustic diffraction problems on periodic graphs. Zbl 1316.35097
Rabinovich, V. S.
2014
On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity. Zbl 1316.35096
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
Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves. Zbl 1275.42023
Rabinovich, V. S.; Samko, S. G.
2012
Pseudodifferential operators with operator valued symbols. Fredholm theory and exponential estimates of solutions. Zbl 1388.35237
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
Algebras of pseudodifferential operators with discontinuous oscillating symbols. Zbl 1218.47135
Karlovich, Yu. I.; Rabinovich, V. S.; Vasilevski, N. L.
2011
Fredholm property and essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1222.47074
2011
Essential spectrum and exponential estimates of eigenfunctions of lattice Schrödinger and Dirac operators. Zbl 1187.35031
Rabinovich, V. S.; Roch, S.
2009
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
Schrödinger operators with interactions on unbounded hypersurfaces. Zbl 1426.35102
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
Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices. Zbl 1412.81142
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
The method of potential operators for anisotropic Helmholtz operators on domains with smooth unbounded boundaries. Zbl 1381.47034
2017
Effective numerical method of spectral analysis of quantum graphs. Zbl 1370.81074
2017
Pseudodifferential operators in weighted Hölder-Zygmund spaces of variable smoothness. Zbl 06731161
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
The Fredholm property and essential spectra of pseudodifferential operators on non-compact manifolds and limit operators. Zbl 1386.58011
Rabinovich, V.
2015
Propagation of electromagnetic waves generated by modulated moving source in dispersive lossy media. Zbl 1334.78022
Burlak, G.; Rabinovich, V.
2015
Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean. Zbl 1327.76128
2015
Transmission problems for conical and quasi-conical at infinity domains. Zbl 1326.35121
2015
Asymptotics of the far field generated by a modulated point source in a planarly layered electromagnetic waveguide. Zbl 1334.78032
2015
Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062
2014
Diffraction by periodic graphs. Zbl 1294.78006
2014
Application of the SPPS method to the one-dimensional quantum scattering. Zbl 1320.81088
Rabinovich, V.; Urbano-Altamirano, F.
2014
The structure of the Cherenkov field emission in metamaterials. Zbl 1327.78004
2014
Acoustic diffraction problems on periodic graphs. Zbl 1316.35097
Rabinovich, V. S.
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
On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity. Zbl 1316.35096
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
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
Pseudodifferential operators with operator valued symbols. Fredholm theory and exponential estimates of solutions. Zbl 1388.35237
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
Algebras of pseudodifferential operators with discontinuous oscillating symbols. Zbl 1218.47135
Karlovich, Yu. I.; Rabinovich, V. S.; Vasilevski, N. L.
2011
Fredholm property and essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1222.47074
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
Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
2006
Fredholm property of pseudodifferential operators on weighted Hölder-Zygmund spaces. Zbl 1104.35081
Rabinovich, V. 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
Reconstruction of input signals in time-varying filters. Zbl 1105.93023
Rabinovich, V. S.; Roch, S.
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
Exponential estimates for eigenfunctions of Schrödinger operators with rapidly increasing and discontinuous potentials. Zbl 1082.47041
Rabinovich, V. S.
2004
Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators. Zbl 1082.39016
2004
Wiener algebras of operators, and applications to pseudodifferential operators. Zbl 1113.47307
2004
Boundary value problems in oscillating cuspidal wedges. Zbl 1083.35151
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
2004
Finite sections of band operators with slowly oscillating coefficients. Zbl 1056.65054
Lindner, Marko; Rabinovich, Vladimir S.; Roch, Steffen
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
Pseudodifferential operators with analytic symbols and estimates for eigenfunctions of Schrödinger operators. Zbl 1029.35084
Rabinovich, V.
2002
$$C^\ast$$-algebras of singular integral operators in domains with oscillating conical singularities. Zbl 1063.47040
Rabinovich, V.; Schulze, B.-W.; Tarkhanov, N.
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
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2001
Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
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
Pseudodifferential operators with analytical symbols and some of its applications. Zbl 0863.35120
Rabinovich, V. S.
1995
Singular integral operators on complicated contours and pseudodifferential operators. Zbl 0853.47028
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
The Fredholm property of general boundary value problems on noncompact manifolds, and limit operators. Zbl 0798.58078
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
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
...and 18 more Documents
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#### Cited by 206 Authors

 58 Rabinovich, Vladimir Samuilovich 25 Karlovich, Yuri I. 15 Lindner, Marko 14 Kravchenko, Vladislav V. 11 Roch, Steffen 9 Karlovich, Alexeĭ Yur’evich 7 Lebre, Amarino Brites 7 Seidel, Markus 7 Torba, Sergii M. 6 Barrera-Figueroa, Victor 6 Hagger, Raffael 5 Chandler-Wilde, Simon N. 5 Korotyaev, Evgeny L. 5 Măntoiu, Marius Laurenţiu 5 Saburova, Natalia 5 Samko, Stefan Grigorievich 5 Silbermann, Bernd 5 Simon, Barry 5 Tarkhanov, Nikolai N. 5 Vasilevski, Nikolai Leonidovich 4 Cappiello, Marco 4 Georgescu, Vladimir 4 Khmelnytskaya, Kira V. 4 Nistor, Victor 4 Rodino, Luigi 4 Schulze, Bert-Wolfgang 4 Spitkovsky, Ilya Matvey 4 Zhang, Jiawen 3 Bastos, Maria Amélia 3 Cardona, Duván 3 Castillo Pérez, Raúl 3 Deundyak, Vladimir Mikhaĭlovich 3 Espinoza-Loyola, Enrique 3 Gramchev, Todor V. 3 Kryakvin, Vadim Donatovich 3 Kumar, Vishvesh 3 Loreto Hernández, Iván 3 Muravnik, Andreĭ Borisovich 3 Seifert, Christian 3 Spakula, Jan 3 Volpert, Vitaly A. 3 Willett, Rufus 2 Arutyunov, Andronick Aramovich 2 Baskakov, Anatoliĭ Grigor’evich 2 Bauer, Wolfram 2 Beckus, Siegfried 2 Breuer, Jonathan 2 Burlak, Gennadiy 2 Campos de Carvalho, Catarina 2 Chang, Der-Chen E. 2 de Oliveira, César R. 2 Drihem, Douadi 2 Duduchava, Roland 2 Ehrhardt, Torsten 2 Engel, Alexander 2 Feintuch, Avraham 2 Fernandes, Claudio A. 2 Gröchenig, Karlheinz 2 Hästö, Peter A. 2 Hebbache, Wafa 2 Hernández-Juárez, Josué 2 Klotz, Andreas 2 Krishtal, Ilya Arkadievich 2 Lenz, Daniel H. 2 Lledó, Fernando 2 Lutskij, Ya. A. 2 Mascarenhas, Helena 2 Mishchenko, Aleksandr Sergeevich 2 Oviedo-Galdeano, Héctor 2 Prado, Roberto A. 2 Purice, Radu 2 Richard, Serge 2 Santos, Pedro A. 2 Speck, Frank-Olme 2 Strang, William Gilbert 2 Tremblay, Sébastien 2 Velasco-García, Ulises 2 Volpert, Aizik I. 2 Wahlberg, Patrik 2 Yakubovich, Dmitry V. 1 Ailawalia, Praveen 1 Almeida, Alexandre 1 Ammann, Bernd Eberhard 1 Antonyuk, Oleksandra Viktorivna 1 Apreutesei, Narcisa C. 1 Austin, Kyle 1 Balan, Radu V. 1 Baldenebro-Obeso, Jesús A. 1 Beltiţă, Daniel 1 Beltiţă, Ingrid 1 Benzi, Michele 1 Bi, Ning 1 Bishop, Christopher James 1 Blancarte, Herminio 1 Böttcher, Albrecht 1 Boutet de Monvel, Anne Marie 1 Cacciapuoti, Claudio 1 Callier, Frank M. 1 Campos, Hugo M. 1 Carvalho, Silas L. ...and 106 more Authors
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#### Cited in 87 Serials

 25 Integral Equations and Operator Theory 23 Journal of Mathematical Analysis and Applications 13 Journal of Functional Analysis 9 Mathematical Methods in the Applied Sciences 9 Mathematical Notes 9 Journal of Pseudo-Differential Operators and Applications 8 Russian Journal of Mathematical Physics 5 Applied Mathematics and Computation 5 Functional Analysis and its Applications 5 Mathematische Nachrichten 5 Zeitschrift für Analysis und ihre Anwendungen 5 Doklady Mathematics 5 Complex Variables and Elliptic Equations 5 Complex Analysis and Operator Theory 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Linear Algebra and its Applications 4 Journal of Mathematical Sciences (New York) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Mathematics 3 Journal of Approximation Theory 3 Siberian Mathematical Journal 3 Mediterranean Journal of Mathematics 3 Communications in Mathematical Analysis 2 Journal d’Analyse Mathématique 2 Journal of Computational and Applied Mathematics 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Russian Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 The Journal of Fourier Analysis and Applications 2 Journal of Spectral Theory 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Transactions of the Moscow Mathematical Society 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Constructive Approximation 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Journal of Dynamics and Differential Equations 1 St. Petersburg Mathematical Journal 1 Georgian Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Mathematical Physics, Analysis and Geometry 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Russian Physics Journal 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Sādhanā 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Computational Acoustics 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Banach Journal of Mathematical Analysis 1 Bulletin of Mathematical Sciences 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Mathematical Sciences 1 Journal of Function Spaces
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#### Cited in 41 Fields

 146 Operator theory (47-XX) 84 Partial differential equations (35-XX) 52 Functional analysis (46-XX) 30 Ordinary differential equations (34-XX) 23 Integral equations (45-XX) 23 Quantum theory (81-XX) 21 Numerical analysis (65-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Global analysis, analysis on manifolds (58-XX) 14 Optics, electromagnetic theory (78-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Functions of a complex variable (30-XX) 7 Combinatorics (05-XX) 7 Fluid mechanics (76-XX) 6 Abstract harmonic analysis (43-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 4 Systems theory; control (93-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-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 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 Information and communication theory, circuits (94-XX)

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