Grigori Rozenblioum

Professor emeritus at Chalmers, Mathematical Sciences

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.

Source: chalmers.se

Contact Details ORCID

Publications (43)
Projects (0)

Showing 43 publications

2019

On the mathematical work of Mikhail Zakharovich Solomyak

Grigori Rozenblioum

St. Petersburg Mathematical Journal. Vol. 30 (3), p. 391-410

Journal article

2018

Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1

Grigori Rozenblioum, Grigory Tashchiyan

Opuscula Mathematica. Vol. 38 (5), p. 733-758

Journal article

2018

Toeplitz operators via sesquilinear forms

Grigori Rozenblioum, N. Vasilevski

Operator Theory: Advances and Applications, p. 287-304

Book chapter

2017

Eigenvalue asymptotics for the sturm-liouville operator with potential having a strong local negative singularity

Medet Nursultanov, Grigori Rozenblioum

Opuscula Mathematica. Vol. 37 (1), p. 109-139

Journal article

2016

Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case

Grigori Rozenblioum, N. Vasilevski

Journal of Mathematical Sciences. Vol. 213 (4), p. 582-609

Journal article

2016

Isoperimetric inequalities for Schatten norms of Riesz potentials

Grigori Rozenblioum, M. Ruzhansky, D. Suragan

Journal of Functional Analysis. Vol. 271 (1), p. 224-239

Journal article

2016

Toeplitz Operators in the Herglotz Space

Grigori Rozenblioum, N. Vasilevski

Integral Equations and Operator Theory. Vol. 86 (3), p. 409-438

Journal article

2015

The Finite Rank Theorem for Toeplitz Operators on the Fock Space

A.A. Borichev, Grigori Rozenblioum

Journal of Geometric Analysis. Vol. 25 (1), p. 347-356

Journal article

2014

Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space

Grigori Rozenblioum, Nikolay Shirokov

Proceedings of the London Mathematical Society. Vol. 109 (5), p. 1281-1303

Journal article

2014

On Spectral Estimates for the Schrodinger Operators in Global Dimension 2

Grigori Rozenblioum, M. Solomyak

St. Petersburg Mathematical Journal. Vol. 25 (3), p. 495-505

Journal article

2014

Toeplitz operators defined by sesquilinear forms: Fock space case

Grigori Rozenblioum, N. Vasilevski

Journal of Functional Analysis. Vol. 267 (11), p. 4399-4430

Journal article

2013

On spectral estimates for the Schrödinger operators in global dimension 2

Grigori Rozenblioum, Michail Solomyak

Algebra and Analysis. Vol. 25 (3), p. 185-199

Journal article

2012

Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols

Grigori Rozenblioum

Bulletin of Mathematical Sciences. Vol. 2 (2), p. 331-341

Journal article

2011

On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces

Grigori Rozenblioum

Journal of Spectral Theory. Vol. 1 (3), p. 299-325

Journal article

2011

On the spectrum of Bargmann- Toeplitz operators with symbols of variable sign.

A. Pushnitsky, Grigori Rozenblioum

Journal dAnalyse Mathematique. Vol. 114 (1), p. 317-340

Journal article

2011

Spectral estimates for Schrödinger operators with sparse potentials on graphs

Grigori Rozenblioum, Michael Solomyak

Journal of Mathematical Sciences. Vol. 176 (3), p. 458-474

Journal article

2010

Entire Functions in Weighted L2 and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field.

Grigori Rozenblioum, Nikolay Shirokov

CUBO, a mathematical journal. Vol. 12 (1), p. 115-132

Journal article

2010

Finite Rank Bergman-Toeplitz and Bargmann-Toeplitz Operators in Many Dimensions

Grigori Rozenblioum, Nikolay Shirokov

Complex Analysis and Operator Theory. Vol. 4 (4), p. 767-775

Journal article

2010

On spectral estimates for Schrödinger-type operators: The case of small local dimension

Grigori Rozenblioum, Michael Solomyak

Functional Analysis and its Applications. Vol. 44 (4), p. 259-269

Journal article

2009

Finite rank Toeplitz operators: some extensions of D. Luecking's theorem.

Alexei Aleksandrov, Grigori Rozenblioum

Journal of Functional Analysis. Vol. 256 (7), p. 2291-2303

Journal article

2009

Counting Schrödinger boundstates: semiclassics and beyond.

Grigori Rozenblioum, Michael Solomyak

Sobolev spaces in mathematics. Int. Math. Ser. (N. Y.), 9, Springer, New York, 2009.. Vol. II, p. 329-353

Journal article

2009

On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field.

Grigori Rozenblioum, Grigory Tashchiyan

Spectral and Scattering Theory for Quantum Magnetic Systems. AMS contemporary Mathematics. Vol. 500

Journal article

2009

Finite Rank Toeplitz Operators in the Bergman space

Grigori Rozenblioum

Around the Research of V. Maz'ya. III. International Mathematical Series. Springer.. Vol. 13, p. 331-358

Journal article

2009

On the spectral estimates for the Schrödinger operator on $\Bbb Z^d, d\ge3$

Grigori Rozenblioum

J. Math. Sci. (N. Y.). Vol. 159 (2), p. 241--263-

Journal article

2009

A Laplace operator with boundary conditions singular at one point

Marco Marlettta, Grigori Rozenblioum

Journal of Physics A: Mathematical and Theoretical. Vol. 42 (12)

Journal article

2008

Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential

Grigori Rozenblioum, Alexander Sobolev

Spectral Theory of Differential Operators: M. Sh. Birman 80th Anniversary Collection. AMS Translations II. Vol. 225, p. 169-190

Journal article

2008

Counting Sobolev boundstates. Semiclassics and beyond

Grigori Rozenblioum, Mikhail Solomyak

Sobolev Spaces in Mathematics II. Internat. Mathem.Series. Springer. Vol. 9, p. 329-354

Journal article

2008

On the spectral properties of the perturbed Landau Hamiltonian.

Grigori Rozenblioum, Grigory Tashchiyan

Communications in Partial Differential Equations. Vol. 33 (4-6), p. 1048--1081-

Journal article

2008

Eigenvalue analysis of elliptic operators

Grigori Rozenblioum

Topics in Mathematical Analysis, Series on Analysis, Appl. and Comput. World Scientific. Vol. 3, p. 227-256

Journal article

2007

On a family of differential operators with the coupling parameter in the boundary condition.

Grigori Rozenblioum, Mikhail Solomyak

Journal of Computational and Applied Mathematics. Vol. 208 (1), p. 57--71-

Journal article

2007

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

A. Pushnitski, Grigori Rozenblioum

Documenta Mathematica. Vol. 12, p. 569-586

Journal article

2007

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

Grigori Rozenblioum, Alexander Pushnitski

Documenta Mathematica. Vol. 12, p. 569--586-

Journal article

2006

Eigenvalue Asymptotics for Potential Type Operators on Lipschitz Surfaces

Grigori Rozenblioum, Grigory Tashchiyan

Russian Journal of Mathematical Physics. Vol. 13 (3), p. 326-339

Journal article

2006

Infiniteness of zero modes for the Pauli operator with singular magnetic field

Grigori Rozenblioum, Nikolay Shirokov

Journal of Functional Analysis. Vol. 333 (1), p. 135-172

Journal article

2005

Schrödinger operators with singular potentials.

Grigori Rozenblioum, Michael Melgaard

Handbook of Differential Equations. Stationary partial differential equations. Vol. II, Elsevier, p. 407--517-

Book chapter

2005

Guillemin transform and Toeplitz representations for operators on singular manifolds.

Grigori Rozenblioum

Spectral geometry of manifolds with boundary and decomposition of manifolds, Contemp. Math., 366, Amer. Math. Soc., Providence, RI, 2005., p. 281--306-

Paper in proceedings

2005