Perturbation determinants for singular perturbations
From MaRDI portal
Publication:2344139
DOI10.1134/S1061920814010051zbMath1311.81129MaRDI QIDQ2344139
Mark M. Malamud, Hagen Neidhardt
Publication date: 12 May 2015
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Related Items
Trace formulas for additive and non-additive perturbations, Scattering matrices and Dirichlet-to-Neumann maps, Spectral shift functions and Dirichlet-to-Neumann maps, Generalized boundary triples, II. Some applications of generalized boundary triples and form domain invariant Nevanlinna functions, Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions, Scattering matrices and Weyl functions of quasi boundary triples, A remark on the discriminant of Hill's equation and Herglotz functions, Non-compact quantum graphs with summable matrix potentials, Perturbation determinants for singular perturbations, Perturbation determinants on Banach spaces and operator differentiability for Hirsch functional calculus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
- On the unitary equivalence of absolutely continuous parts of self-adjoint extensions
- Regular singular Sturm-Liouville operators and their zeta-determinants
- Weyl function and spectral properties of self-adjoint extensions
- On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations
- Nonselfadjoint operators, infinite determinants, and some applications
- Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
- Spectral theory of elliptic operators in exterior domains
- Multi-dimensional versions of a determinant formula due to Jost and Pais
- Hankel operators in the perturbation theory of unitary and self-adjoint operators
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- Asymptotic behavior of integral functionals of diffusion processes with periodic coefficients
- Characteristic functions of almost solvable extensions of Hermitian operators
- On the determinant of one-dimensional elliptic boundary value problems
- Piecewise-constant stabilization of systems linear in control
- (Modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels revisited
- An extension of the Koplienko--Neidhardt trace formulae
- The extension theory of Hermitian operators and the moment problem
- Trace formulae for perturbations of class \(s_m\)
- On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set
- Perturbation determinants for singular perturbations
- A remark on the discriminant of Hill's equation and Herglotz functions
- Evans functions, Jost functions, and Fredholm determinants
- Variations on a theme of Jost and Pais
- Discrete and continuous boundary problems
- Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators
- Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
- Scattering matrices and Weyl functions
- Distributions and Operators
- On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants
- Determinants of Regular Singular Sturm - Liouville Operators
- THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL
- Functions of perturbed dissipative operators
