×

Rozenblum, Grigori V.

Compute Distance To:
Author ID: rozenblum.grigori-v Recent zbMATH articles by "Rozenblum, Grigori V."
Published as: Rozenblum, Grigori; Rozenblum, G. V.; Rozenblum, G.; Rozenblum, Grigori V.
Documents Indexed: 60 Publications since 1980
Co-Authors: 29 Co-Authors with 36 Joint Publications
1,283 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 323 times in 141 Documents Cited by Year
Eigenvalue asymptotics for weakly perturbed Dirac and Schrödinger operators with constant magnetic fields of full rank. Zbl 1044.35038
Melgaard, M.; Rozenblum, G.
26
2003
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain. Zbl 1132.35424
Pushnitski, Alexander; Rozenblum, Grigori
21
2007
Isoperimetric inequalities for Schatten norms of Riesz potentials. Zbl 1381.35111
Rozenblum, G.; Ruzhansky, M.; Suragan, D.
20
2016
Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians. Zbl 1059.81049
Melgaard, M.; Ouhabaz, E.-M.; Rozenblum, G.
19
2005
Finite rank Toeplitz operators: Some extensions of D. Luecking’s theorem. Zbl 1165.47018
Alexandrov, Alexey; Rozenblum, Grigori
17
2009
On the spectral properties of the perturbed Landau Hamiltonian. Zbl 1158.47029
Rozenblum, Grigori; Tashchiyan, Grigory
15
2008
On the spectral estimates for the Schrödinger operator on \(\mathbb Z^d\), \(d \geqslant 3\). Zbl 1207.35237
Rozenblum, Grigori; Solomyak, Michael
14
2009
Infiniteness of zero modes for the Pauli operator with singular magnetic field. Zbl 1088.81046
Rozenblum, Grigori; Shirokov, Nikolai
14
2006
Counting Schrödinger boundstates: Semiclassics and beyond. Zbl 1172.35046
Rozenblum, Grigori; Solomyak, Michael
11
2009
Eigenvalue asymptotics for potential type operators on Lipschitz surfaces. Zbl 1123.35037
Rozenblum, G.; Tashchiyan, G.
10
2006
Finite rank Toeplitz operators in the Bergman space. Zbl 1208.47029
Rozenblum, Grigori
9
2010
On principal eigenvalues for indefinite problems in Euclidean space. Zbl 0908.35085
Rozenblum, Grigori; Solomyak, Michael
9
1998
On spectral estimates for Schrödinger-type operators: the case of small local dimension. Zbl 1272.47055
Rozenblum, G. V.; Solomyak, M. Z.
8
2010
Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions. Zbl 1202.47034
Rozenblum, Grigori; Shirokov, Nikolai
8
2010
Schrödinger operator with singular potentials. Zbl 1206.35084
Rozenblum, G.; Melgaard, M.
8
2005
Toeplitz operators defined by sesquilinear forms: Fock space case. Zbl 1342.47044
Rozenblum, Grigori; Vasilevski, Nikolai
8
2014
Eigenvalue asymptotics for the Sturm-Liouville operator with potential having a strong local negative singularity. Zbl 1381.34107
Nursultanov, Medet; Rozenblum, Grigori
7
2017
On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign. Zbl 1253.47018
Pushnitski, Alexander; Rozenblum, Grigori
6
2011
Spectral estimates for Schrödinger operators with sparse potentials on graphs. Zbl 1290.35284
Rozenblum, G.; Solomyak, M.
6
2011
Regularisation of secondary characteristic classes and unusual index formulas for operator-valued symbols. Zbl 1161.58311
Rozenblum, Grigori
6
2003
Toeplitz operators defined by sesquilinear forms: Bergman space case. Zbl 1346.47009
Rozenblum, Grigori; Vasilevski, N.
5
2016
On a family of differential operators with the coupling parameter in the boundary condition. Zbl 1146.35064
Rozenblum, G.; Solomyak, M.
5
2007
Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential. Zbl 1167.35028
Rozenblum, Grigori; Sobolev, Alexander V.
5
2008
CLR-estimate revisited: Lieb’s approach with no path integrals. Zbl 1027.47020
Rozenblum, G.; Solomyak, M.
5
1997
Some weighted estimates for the \(\overline{\partial}\)-equation and a finite rank theorem for Toeplitz operators in the Fock space. Zbl 1327.47027
Rozenblum, Grigori; Shirokov, Nikolay
5
2014
Eigenvalues of the Neumann-Poincaré operator in dimension 3: Weyl’s law and geometry. Zbl 07167792
Miyanishi, Y.; Rozenblum, G.
5
2020
Finite rank Bargmann-Toeplitz operators with non-compactly supported symbols. Zbl 1252.32011
Rozenblum, Grigori
4
2012
A Laplace operator with boundary conditions singular at one point. Zbl 1181.35158
Marlettta, Marco; Rozenblum, Grigori
4
2009
On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces. Zbl 1248.47031
Rozenblum, Grigori
4
2011
On some analytical index formulas related to operator-valued symbols. Zbl 1006.35104
Rozenblum, Grigori
4
2002
On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field. Zbl 1184.81063
Rozenblum, Grigori; Tashchiyan, Grigory
4
2009
Toeplitz operators in polyanalytic Bergman type spaces. Zbl 1441.30081
Rozenblum, Grigori; Vasilevski, Nikolai
4
2019
Spectral asymptotic behavior of elliptic systems. Zbl 0507.58045
Rozenblyum, G. V.
3
1983
On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator. Zbl 0920.35101
Rozenblum, G.; Solomyak, M.
3
1999
Riesz \(L_p\) summability of spectral expansions related to the Schrödinger operator with constant magnetic field. Zbl 1025.35012
Rozenblum, G.; Tashchiyan, G.
3
2003
Spectral properties of the Neumann-Poincaré operator in 3D elasticity. Zbl 1473.35100
Miyanishi, Yoshihisa; Rozenblum, Grigori
3
2021
Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1. Zbl 06976048
Rozenblum, Grigori; Tashchiyan, Grigory
3
2018
The spectral asymptotics of elliptic systems. Zbl 0474.58021
Rozenblum, G. V.
2
1980
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2
2005
The finite rank theorem for Toeplitz operators on the Fock space. Zbl 1339.47036
Borichev, Alexander; Rozenblum, Grigori
2
2015
Toeplitz operators in the Herglotz space. Zbl 06708454
Rozenblum, Grigori; Vasilevski, Nikolai
1
2016
Entire functions in weighted \(L_2\) and zero modes of the Pauli operator with non-signdefinite magnetic field. Zbl 1233.30018
Rozenblum, Grigori; Shirokov, Nikolay
1
2010
Toeplitz operators via sesquilinear forms. Zbl 1464.47020
Rozenblum, Grigori; Vasilevski, Nikolai
1
2018
\(\mathcal{L}\)-invariant Fock-Carleson type measures for derivatives of order \(k\) and the corresponding Toeplitz operators. Zbl 07139976
Esmeral, K.; Rozenblum, G.; Vasilevski, N.
1
2019
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case. Zbl 07438902
Rozenblum, Grigori; Shargorodsky, Eugene
1
2021
Eigenvalues of singular measures and Connes’ noncommutative integration. Zbl 1486.35316
Rozenblum, Grigori
1
2022
Eigenvalues of singular measures and Connes’ noncommutative integration. Zbl 1486.35316
Rozenblum, Grigori
1
2022
Spectral properties of the Neumann-Poincaré operator in 3D elasticity. Zbl 1473.35100
Miyanishi, Yoshihisa; Rozenblum, Grigori
3
2021
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case. Zbl 07438902
Rozenblum, Grigori; Shargorodsky, Eugene
1
2021
Eigenvalues of the Neumann-Poincaré operator in dimension 3: Weyl’s law and geometry. Zbl 07167792
Miyanishi, Y.; Rozenblum, G.
5
2020
Toeplitz operators in polyanalytic Bergman type spaces. Zbl 1441.30081
Rozenblum, Grigori; Vasilevski, Nikolai
4
2019
\(\mathcal{L}\)-invariant Fock-Carleson type measures for derivatives of order \(k\) and the corresponding Toeplitz operators. Zbl 07139976
Esmeral, K.; Rozenblum, G.; Vasilevski, N.
1
2019
Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1. Zbl 06976048
Rozenblum, Grigori; Tashchiyan, Grigory
3
2018
Toeplitz operators via sesquilinear forms. Zbl 1464.47020
Rozenblum, Grigori; Vasilevski, Nikolai
1
2018
Eigenvalue asymptotics for the Sturm-Liouville operator with potential having a strong local negative singularity. Zbl 1381.34107
Nursultanov, Medet; Rozenblum, Grigori
7
2017
Isoperimetric inequalities for Schatten norms of Riesz potentials. Zbl 1381.35111
Rozenblum, G.; Ruzhansky, M.; Suragan, D.
20
2016
Toeplitz operators defined by sesquilinear forms: Bergman space case. Zbl 1346.47009
Rozenblum, Grigori; Vasilevski, N.
5
2016
Toeplitz operators in the Herglotz space. Zbl 06708454
Rozenblum, Grigori; Vasilevski, Nikolai
1
2016
The finite rank theorem for Toeplitz operators on the Fock space. Zbl 1339.47036
Borichev, Alexander; Rozenblum, Grigori
2
2015
Toeplitz operators defined by sesquilinear forms: Fock space case. Zbl 1342.47044
Rozenblum, Grigori; Vasilevski, Nikolai
8
2014
Some weighted estimates for the \(\overline{\partial}\)-equation and a finite rank theorem for Toeplitz operators in the Fock space. Zbl 1327.47027
Rozenblum, Grigori; Shirokov, Nikolay
5
2014
Finite rank Bargmann-Toeplitz operators with non-compactly supported symbols. Zbl 1252.32011
Rozenblum, Grigori
4
2012
On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign. Zbl 1253.47018
Pushnitski, Alexander; Rozenblum, Grigori
6
2011
Spectral estimates for Schrödinger operators with sparse potentials on graphs. Zbl 1290.35284
Rozenblum, G.; Solomyak, M.
6
2011
On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces. Zbl 1248.47031
Rozenblum, Grigori
4
2011
Finite rank Toeplitz operators in the Bergman space. Zbl 1208.47029
Rozenblum, Grigori
9
2010
On spectral estimates for Schrödinger-type operators: the case of small local dimension. Zbl 1272.47055
Rozenblum, G. V.; Solomyak, M. Z.
8
2010
Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions. Zbl 1202.47034
Rozenblum, Grigori; Shirokov, Nikolai
8
2010
Entire functions in weighted \(L_2\) and zero modes of the Pauli operator with non-signdefinite magnetic field. Zbl 1233.30018
Rozenblum, Grigori; Shirokov, Nikolay
1
2010
Finite rank Toeplitz operators: Some extensions of D. Luecking’s theorem. Zbl 1165.47018
Alexandrov, Alexey; Rozenblum, Grigori
17
2009
On the spectral estimates for the Schrödinger operator on \(\mathbb Z^d\), \(d \geqslant 3\). Zbl 1207.35237
Rozenblum, Grigori; Solomyak, Michael
14
2009
Counting Schrödinger boundstates: Semiclassics and beyond. Zbl 1172.35046
Rozenblum, Grigori; Solomyak, Michael
11
2009
A Laplace operator with boundary conditions singular at one point. Zbl 1181.35158
Marlettta, Marco; Rozenblum, Grigori
4
2009
On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field. Zbl 1184.81063
Rozenblum, Grigori; Tashchiyan, Grigory
4
2009
On the spectral properties of the perturbed Landau Hamiltonian. Zbl 1158.47029
Rozenblum, Grigori; Tashchiyan, Grigory
15
2008
Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential. Zbl 1167.35028
Rozenblum, Grigori; Sobolev, Alexander V.
5
2008
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain. Zbl 1132.35424
Pushnitski, Alexander; Rozenblum, Grigori
21
2007
On a family of differential operators with the coupling parameter in the boundary condition. Zbl 1146.35064
Rozenblum, G.; Solomyak, M.
5
2007
Infiniteness of zero modes for the Pauli operator with singular magnetic field. Zbl 1088.81046
Rozenblum, Grigori; Shirokov, Nikolai
14
2006
Eigenvalue asymptotics for potential type operators on Lipschitz surfaces. Zbl 1123.35037
Rozenblum, G.; Tashchiyan, G.
10
2006
Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians. Zbl 1059.81049
Melgaard, M.; Ouhabaz, E.-M.; Rozenblum, G.
19
2005
Schrödinger operator with singular potentials. Zbl 1206.35084
Rozenblum, G.; Melgaard, M.
8
2005
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2
2005
Eigenvalue asymptotics for weakly perturbed Dirac and Schrödinger operators with constant magnetic fields of full rank. Zbl 1044.35038
Melgaard, M.; Rozenblum, G.
26
2003
Regularisation of secondary characteristic classes and unusual index formulas for operator-valued symbols. Zbl 1161.58311
Rozenblum, Grigori
6
2003
Riesz \(L_p\) summability of spectral expansions related to the Schrödinger operator with constant magnetic field. Zbl 1025.35012
Rozenblum, G.; Tashchiyan, G.
3
2003
On some analytical index formulas related to operator-valued symbols. Zbl 1006.35104
Rozenblum, Grigori
4
2002
On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator. Zbl 0920.35101
Rozenblum, G.; Solomyak, M.
3
1999
On principal eigenvalues for indefinite problems in Euclidean space. Zbl 0908.35085
Rozenblum, Grigori; Solomyak, Michael
9
1998
CLR-estimate revisited: Lieb’s approach with no path integrals. Zbl 1027.47020
Rozenblum, G.; Solomyak, M.
5
1997
Spectral asymptotic behavior of elliptic systems. Zbl 0507.58045
Rozenblyum, G. V.
3
1983
The spectral asymptotics of elliptic systems. Zbl 0474.58021
Rozenblum, G. V.
2
1980
all top 5

Cited by 158 Authors

22 Rozenblum, Grigori V.
8 Exner, Pavel
7 Vasilevski, Nikolai Leonidovich
6 Bruneau, Vincent
5 Korotyaev, Evgeny L.
5 Raikov, Georgi D.
5 Sambou, Diomba
5 Savin, Anton Yur’evich
5 Sternin, Boris Yur’evich
4 Solomyak, Mikhaĭl Zakharovich
3 Goffeng, Magnus
3 Helffer, Bernard
3 Mine, Takuya
3 Miranda, Pablo L.
3 Nomura, Yuji
3 Perälä, Antti Ilmari
3 Sundqvist, Mikael Persson
3 Pushnitski, Alexander B.
3 Ruzhansky, Michael V.
2 Borichev, Aleksandr Aleksandrovich
2 Capoferri, Matteo
2 Esmeral, Kevin
2 Haslinger, Friedrich
2 Hedenmalm, Håkan
2 Hirano, Norimichi
2 Kachmar, Ayman
2 Kostenko, Aleksey S.
2 Kovařík, Hynek
2 Levin, Daniel
2 Lotoreichik, Vladimir
2 Luef, Franz
2 Maksimenko, Egor A.
2 Malamud, Mark M.
2 Molchanov, Stanislav Alekseevich
2 Neidhardt, Hagen
2 Popoff, Nicolas
2 Repovš, Dušan D.
2 Rybicki, Sławomir Maciej
2 Saburova, Natalia
2 Schrohe, Elmar
2 Shirokov, Nikolaĭ Alekseevich
2 Sobolev, Alexander V.
2 Stockmeyer, Edgardo
2 Taskinen, Jari
2 Tokmagambetov, Niyaz Esenzholovich
2 Vaĭnberg, Boris Rufimovich
2 Virtanen, Jani A.
2 Weidl, Timo
1 Alexandrov, Alexey
1 Alladustova, I. U.
1 Almog, Yaniv
1 Anoop, Thazhe Veetil
1 Bach, Volker
1 Bachar, Imed
1 Bandara, Lashi
1 Barrera-Castelán, Roberto Moisés
1 Barseghyan, Diana
1 Bauer, Wolfram
1 Behrndt, Jussi
1 Berger, Franz
1 Bony, Jean-François
1 Brown, Malcolm W.
1 Brüning, Jochen
1 Cárdenas, Esteban
1 Carlone, Raffaele
1 Cencelj, Matija
1 Cornean, Horia D.
1 Cuenin, Jean-Claude
1 Dabkowski, Michael G.
1 De Siqueira Pedra, Walter
1 Dimassi, Mouez
1 Drábek, Pavel
1 Duong, Anh Tuan
1 El Aidi, Mohammed
1 Espinoza, Nicolas
1 Förster, Clemens
1 Fournais, Søren
1 Frank, Rupert L.
1 Garetto, Claudia
1 Gesztesy, Fritz
1 Geyler, Vladimir A.
1 Giunti, Arianna
1 Grebenkov, Denis S.
1 Grigor’yan, Alexander Asaturovich
1 Haimi, Antti
1 Hassell, Andrew
1 Holzmann, Markus
1 Hu, Jianhui
1 Ibort, Alberto
1 Isozaki, Hiroshi
1 Ivrii, Victor Ja.
1 Jäh, Christian P.
1 Jaye, Benjamin J.
1 Jefferies, Brian R. F.
1 Jia, Xiaoyao
1 Keller, Johannes
1 Könenberg, Martin
1 Kordyukov, Yuri A.
1 Lakaev, Shukhrat Saidakhmatovich
1 Laptev, Ari
...and 58 more Authors
all top 5

Cited in 65 Serials

15 Journal of Functional Analysis
8 Journal of Mathematical Sciences (New York)
6 St. Petersburg Mathematical Journal
6 Journal of Spectral Theory
5 Journal of Mathematical Physics
5 Annales Henri Poincaré
5 Boundary Value Problems
3 Journal of Mathematical Analysis and Applications
3 Integral Equations and Operator Theory
3 Doklady Mathematics
3 Bulletin of Mathematical Sciences
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Journal d’Analyse Mathématique
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Reviews in Mathematical Physics
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Functional Analysis and its Applications
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Russian Journal of Mathematical Physics
2 Electronic Journal of Differential Equations (EJDE)
2 Abstract and Applied Analysis
2 Mathematical Physics, Analysis and Geometry
2 Lobachevskii Journal of Mathematics
2 Differential Equations
1 Letters in Mathematical Physics
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Transactions of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Asymptotic Analysis
1 The Journal of Geometric Analysis
1 Annals of Physics
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 The Journal of Fourier Analysis and Applications
1 Arab Journal of Mathematical Sciences
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Proceedings of the Steklov Institute of Mathematics
1 Complex Analysis and Operator Theory
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Pseudo-Differential Operators and Applications
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Kyoto Journal of Mathematics
1 Journal of Function Spaces
1 Journal of Nonlinear and Variational Analysis

Citations by Year