Grigori Rozenblioum

Professor emeritus, Mathematical Sciences

grigori@chalmers.se +46317725309 Find me Download my CV

Research interests are concentrated around mathematical problems arising in physics, especially quantum physics, and include Partial Differerential Equations, Operator Theory and Analysis. Program head of the program Hamiltonians with Magnetic Fields at Institut Mittag-Leffler. Member of the editorial board of two journals. Has been teaching at universities in Russia, Denmark and Sweden since 1974.

Teaching
Publications
Collaboration
Arxiv

PDE, Hilbert space methods for PDE, Approximation theory, Noncommutative Geometry

Major publications
Finite Rank Toeplitz Operators in the Bergman space

Author: Grigori Rozenblioum

Published: 2009

Published in: Around the Research of V. Maz'ya. III. International Mathematical Series. Springer.

Publication type: Journal article
Infiniteness of zero modes for the Pauli operator with singular magnetic field

Author: Grigori Rozenblioum; Nikolay Shirokov

Published: 2006

Published in: Journal of Functional Analysis

Publication type: Journal article
Latest publications

2022
Eigenvalues of the Birman-Schwinger operator for singular measures: The noncritical case

Author: Grigori Rozenblioum; Grigory Tashchiyan

Published: 2022

Published in: Journal of Functional Analysis

Publication type: Journal article
Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach

Author: Grigori Rozenblioum; N. Vasilevski

Published: 2022

Published in: Integral Equations and Operator Theory

Publication type: Journal article
Lieb–Thirring Estimates for Singular Measures

Author: Grigori Rozenblioum

Published: 2022

Published in: Annales Henri Poincare

Publication type: Journal article
Eigenvalues of singular measures and Connes’ noncommutative integration

Author: Grigori Rozenblioum

Published: 2022

Published in: Journal of Spectral Theory

Publication type: Journal article
Eigenvalue asymptotics for polynomially compact pseudodifferential operators

Author: Grigori Rozenblioum

Published: 2022

Published in: St. Petersburg Mathematical Journal

Publication type: Journal article
2021
Eigenvalue asymptotics for polynomially compact pseudodifferential operators

Author: Grigori Rozenblioum

Published: 2021

Published in: Algebra i Analiz

Publication type: Journal article
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case.

Author: Grigori Rozenblioum; E. M. Shargorodsky

Published: 2021

Published in: Partial Differential Equations, Spectral Theory, and Mathematical Physics (EMS Series of Congress Reports)

Publication type: Paper in proceeding
Spectral properties of the Neumann-Poincaré operator in 3D elasticity

Author: Y. Miyanishi; Grigori Rozenblioum

Published: 2021

Published in: International Mathematics Research Notices

Publication type: Journal article
Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case

Author: Grigori Rozenblioum; E. M. Shargorodsky

Published: 2021

Published in: Functional Analysis and its Applications

Publication type: Journal article
2020
Trace Class Toeplitz Operators with Singular Symbols

Author: Grigori Rozenblioum; Nikolai L. Vasilevski

Published: 2020

Published in: Proceedings of the Steklov Institute of Mathematics

Publication type: Journal article
Nikolai’s spaces

Author: Grigori Rozenblioum

Published: 2020

Published in: Operator Theory: Advances and Applications

Publication type: Book chapter
Toeplitz operators with singular symbols in polyanalytic Bergman spaces on the half-plane

Author: Grigori Rozenblioum; N. Vasilevski

Published: 2020

Published in: Operator Algebras, Toeplitz Operators and Related Topics, Bauer W., Duduchava R., Grudsky S., Kaashoek M. (eds), (Operator Theory: Advances and Applications, vol 279)

Publication type: Book chapter
EIGENVALUES OF THE NEUMANN-POINCARE OPERATOR IN DIMENSION 3: WEYL'S LAW AND GEOMETRY

Author: Y. Miyanishi; Grigori Rozenblioum

Published: 2020

Published in: St. Petersburg Mathematical Journal

Publication type: Journal article
2019
Toeplitz operators in polyanalytic bergman type spaces

Author: Grigori Rozenblioum; N. Vasilevski

Published: 2019

Published in: Contemporary Mathematics

Publication type: Book chapter
L–Invariant Fock–Carleson Type Measures for Derivatives of Order k and the Corresponding Toeplitz Operators

Author: K. Esmeral; Grigori Rozenblioum; N. Vasilevski

Published: 2019

Published in: Journal of Mathematical Sciences

Publication type: Journal article
On the mathematical work of Mikhail Zakharovich Solomyak

Author: Grigori Rozenblioum

Published: 2019

Published in: St. Petersburg Mathematical Journal

Publication type: Journal article
2018
Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1

Author: Grigori Rozenblioum; Grigory Tashchiyan

Published: 2018

Published in: Opuscula Mathematica

Publication type: Journal article
Toeplitz operators via sesquilinear forms

Author: Grigori Rozenblioum; N. Vasilevski

Published: 2018

Published in: Operator Theory: Advances and Applications

Publication type: Book chapter
2017
Eigenvalue asymptotics for the sturm-liouville operator with potential having a strong local negative singularity

Author: Medet Nursultanov; Grigori Rozenblioum

Published: 2017

Published in: Opuscula Mathematica

Publication type: Journal article
2016
Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case

Author: Grigori Rozenblioum; N. Vasilevski

Published: 2016

Published in: Journal of Mathematical Sciences

Publication type: Journal article
Toeplitz Operators in the Herglotz Space

Author: Grigori Rozenblioum; N. Vasilevski

Published: 2016

Published in: Integral Equations and Operator Theory

Publication type: Journal article
Isoperimetric inequalities for Schatten norms of Riesz potentials

Author: Grigori Rozenblioum; M. Ruzhansky; D. Suragan

Published: 2016

Published in: Journal of Functional Analysis

Publication type: Journal article
2015
The Finite Rank Theorem for Toeplitz Operators on the Fock Space

Author: A.A. Borichev; Grigori Rozenblioum

Published: 2015

Published in: Journal of Geometric Analysis

Publication type: Journal article

Go to Chalmers publication library

St. Petersburg Univ., Russia; Toronto Univ., Canada, Weizmann Inst., Israel; Cincstav, Mexico; CUP, Chile; King’s College, Imperial College, UK; Aarhus Univ., Copenhagen Univ. Denmark

Page manager Published: Fri 14 Dec 2018.

Grigori Rozenblioum

Major publications

Latest publications

2022

2021

2020

2019

2018

2017

2016

2015