Grigori Rozenblioum
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.
Showing 58 publications
Eigenvalues of the Birman-Schwinger operator for singular measures: The noncritical case
Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach
Eigenvalue asymptotics for polynomially compact pseudodifferential operators
Eigenvalues of singular measures and Connes’ noncommutative integration
Lieb–Thirring Estimates for Singular Measures
Eigenvalue asymptotics for polynomially compact pseudodifferential operators
Spectral properties of the Neumann-Poincaré operator in 3D elasticity
Toeplitz operators with singular symbols in polyanalytic Bergman spaces on the half-plane
EIGENVALUES OF THE NEUMANN-POINCARE OPERATOR IN DIMENSION 3: WEYL'S LAW AND GEOMETRY
Trace Class Toeplitz Operators with Singular Symbols
Toeplitz operators in polyanalytic bergman type spaces
On the mathematical work of Mikhail Zakharovich Solomyak
Toeplitz operators via sesquilinear forms
Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case
Isoperimetric inequalities for Schatten norms of Riesz potentials
Toeplitz Operators in the Herglotz Space
The Finite Rank Theorem for Toeplitz Operators on the Fock Space
On Spectral Estimates for the Schrodinger Operators in Global Dimension 2
Toeplitz operators defined by sesquilinear forms: Fock space case
On spectral estimates for the Schrödinger operators in global dimension 2
Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols
On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces
On the spectrum of Bargmann- Toeplitz operators with symbols of variable sign.
Spectral estimates for Schrödinger operators with sparse potentials on graphs
Finite Rank Bergman-Toeplitz and Bargmann-Toeplitz Operators in Many Dimensions
On spectral estimates for Schrödinger-type operators: The case of small local dimension
Finite rank Toeplitz operators: some extensions of D. Luecking's theorem.
Counting Schrödinger boundstates: semiclassics and beyond.
Finite Rank Toeplitz Operators in the Bergman space
On the spectral estimates for the Schrödinger operator on $\Bbb Z^d, d\ge3$
A Laplace operator with boundary conditions singular at one point
Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential
Counting Sobolev boundstates. Semiclassics and beyond
On the spectral properties of the perturbed Landau Hamiltonian.
Eigenvalue analysis of elliptic operators
On a family of differential operators with the coupling parameter in the boundary condition.
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
Eigenvalue Asymptotics for Potential Type Operators on Lipschitz Surfaces
Infiniteness of zero modes for the Pauli operator with singular magnetic field
Schrödinger operators with singular potentials.
Guillemin transform and Toeplitz representations for operators on singular manifolds.
Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians.
Lieb-Thirring inequality for the Aharonov-Bohm Hamiltonian and eigenvalue estimates
Toeplitz representations for operators on singular manifolds
On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator
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