Weyl-Titchmarsh M -Function Asymptotics for Matrix-valued Schrödinger Operators
From MaRDI portal
Publication:2766405
DOI10.1112/plms/82.3.701zbMath1025.34021arXivmath/9905070OpenAlexW2593114831MaRDI QIDQ2766405
Steve Clark, Friedrich Gesztesy
Publication date: 28 January 2002
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9905070
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items (24)
Principal Solutions Revisited ⋮ Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators ⋮ Spectral properties of a class of reflectionless Schrödinger operators ⋮ On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line ⋮ Spectral analysis of singular matrix-valued Sturm-Liouville operators ⋮ Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems ⋮ On Positivity Preserving, Translation Invariant Operators in $$ \mathit L^p (\mathbb R^n)^m $$ ⋮ Estimates of large eigenvalues and trace formula for the vectorial Sturm-Liouville equations ⋮ On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators ⋮ \(M\)-matrix asymptotics for Sturm-Liouville problems on graphs ⋮ Half line Titchmarsh-Weyl \(m\) functions of vector-valued discrete Schrödinger operators ⋮ Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators ⋮ On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems ⋮ On a complete analysis of high-energy scattering matrix asymptotics for one dimensional Schrödinger operators with integrable potentials ⋮ Conformal spectral theory for the monodromy matrix ⋮ Weyl-Titchmarsh theory for Hamiltonian dynamic systems ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions ⋮ Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Titchmarsh-Weyl theory for vector-valued discrete Schrödinger operators ⋮ Linear systems and determinantal random point fields ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
This page was built for publication: Weyl-Titchmarsh M -Function Asymptotics for Matrix-valued Schrödinger Operators
