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 65 publications
Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential
The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary
Discrete spectrum of zero order pseudodifferential operators.
Spectral Estimates and Asymptotics for Integral Operators on Singular Sets
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
Lieb–Thirring Estimates for Singular Measures
Eigenvalue asymptotics for polynomially compact pseudodifferential operators
Eigenvalues of singular measures and Connes' noncommutative integration.
TOPOLOGICAL OBSTRUCTIONS TO THE DIAGONALISATION OF PSEUDODIFFERENTIAL SYSTEMS
Spectral properties of the Neumann-Poincaré operator in 3D elasticity
Eigenvalue asymptotics for polynomially compact pseudodifferential operators
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 in the Herglotz Space
Isoperimetric inequalities for Schatten norms of Riesz potentials
Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case
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
On spectral estimates for Schrödinger-type operators: The case of small local dimension
Finite Rank Bergman-Toeplitz and Bargmann-Toeplitz Operators in Many Dimensions
Finite rank Toeplitz operators: some extensions of D. Luecking's theorem.
A Laplace operator with boundary conditions singular at one point
Finite Rank Toeplitz Operators in the Bergman space
On the spectral estimates for the Schrödinger operator on $\Bbb Z^d, d\ge3$
Counting Schrödinger boundstates: semiclassics and beyond.
On the spectral properties of the perturbed Landau Hamiltonian.
Counting Sobolev boundstates. Semiclassics and beyond
Eigenvalue analysis of elliptic operators
Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential
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
On a family of differential operators with the coupling parameter in the boundary condition.
Eigenvalue Asymptotics for Potential Type Operators on Lipschitz Surfaces
Infiniteness of zero modes for the Pauli operator with singular magnetic field
Guillemin transform and Toeplitz representations for operators on singular manifolds.
Schrödinger operators with singular potentials.
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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