Geometry of Weyl theory for Jacobi matrices with matrix entries

DOI10.1007/s11854-010-0004-5zbMath1197.47047arXiv0804.3746OpenAlexW2055569303MaRDI QIDQ977296

Hermann Schulz-Baldes

Publication date: 21 June 2010

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3746

zbMATH Keywords

resolventMöbius transformationsJacobi matrixWeyl-Titchmarsh theoryWronskian identitiesisotropic subspacesWeyl discWeyl limitWeyl surface

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (9)

A Herman–Avila–Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic cocycles ⋮ Topological invariants of edge states for periodic two-dimensional models ⋮ Scattering zippers and their spectral theory ⋮ Dimensional reduction and scattering formulation for even topological invariants ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line ⋮ Localization for random block operators related to the \(XY\) spin chain ⋮ Unboundedness of adjacency matrices of locally finite graphs ⋮ Transfer matrices for discrete Hermitian operators and absolutely continuous spectrum ⋮ Density of positive Lyapunov exponents for symplectic cocycles

Cites Work

• Unnamed Item
• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
• Absolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein's theorem
• Spectral theory of ordinary differential operators
• The classical moment problem as a self-adjoint finite difference operator
• Untersuchungen über singuläre reelle S-hermitesche Differentialgleichungssysteme im Normalfall
• Singuläre S-hermitesche Rand-Eigenwertprobleme
• THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR
• On Boundary Value Problems for Hamiltonian Systems with Two Singular Points
• The Analytic Theory of Matrix Orthogonal Polynomials
• A spectral representation on ordinary linear difference equation with operator-valued coefficients of the second order
• NESTED MATRIX DISKS ANALYTICALLY DEPENDING PARAMETER, AND THEOREMS ON THE INVARIANCE RADII OF LIMITING DISKS
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems I
• On Matrix-Valued Herglotz Functions

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