Titchmarsh-Weyl theory for vector valued Schrodinger operators

2017/08/14 by Keshav Raj Acharya, Acharya, Keshav
Mathematics · #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1708.04306

openalex publication_date 2017/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop the Titchmarsh-Weyl theory for vector-valued discrete Schrödinger operators and show that the Weyl m functions associated with these operators map complex upper half plane to the Siegel upper half space. We also discuss about the Weyl disk and Weyl circle corresponding to these operators.

Citations

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

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