Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
12-2019
Abstract/Description
We develop the Titchmarsh–Weyl theory for vector-valued discrete Schrödinger operators. We show that the Weyl m functions associated with these operators are matrix valued Herglotz functions that map complex upper half plane to the Siegel upper half space. We discuss about the Weyl disk and Weyl circle corresponding to these operators by defining these functions on a bounded interval. We also discuss the geometric properties of Weyl disk and find the center and radius of the Weyl disk explicitly in terms of matrices.
Publication Title
Analysis and Mathematical Physics
DOI
https://doi.org/10.1007/s13324-018-0277-x
Publisher
Birkhaeuser Science
Scholarly Commons Citation
Acharya, K. R. (2019). Titchmarsh–Weyl Theory for Vector-Valued Discrete Schrödinger Operators. Analysis and Mathematical Physics, 9(). https://doi.org/10.1007/s13324-018-0277-x
