On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems

2003/12/09 by Steve Clark, Fritz Gesztesy, Clark, Steve +1
Materials Science · Mathematics · Physics and Astronomy · #34B20 #34B27 #39A10 #39A70 #FOS: Mathematics #Magnetism in coordination complexes #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:34B20 #msc:34B27 #msc:39A10 #msc:39A70

paper · pdf · doi:10.48550/arxiv.math/0312177

30 pages, to appear in J. Comput. Appl. Math

arxiv created 2003/12/09 · openalex publication_date 2003/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop the basic theory of matrix-valued Weyl-Titchmarsh M-functions and the associated Green's matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.

Citations

• �ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen

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