On M-functions and operator theory for non-self-adjoint discrete Hamiltonian systems

Monaquel, S. J. and Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 2007. On M-functions and operator theory for non-self-adjoint discrete Hamiltonian systems. Journal of Computational and Applied Mathematics 208 (1) , pp. 82-101. 10.1016/j.cam.2006.10.043

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Abstract

We study discrete, generally non-self-adjoint Hamiltonian systems, defining Weyl–Sims sets, which replace the classical Weyl circles, and a matrix-valued M-function on suitable cone-shaped domains in the complex plane. Furthermore, we characterise realisations of the corresponding differential operator and its adjoint, and construct their resolvents.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Non-self-adjoint operators; Difference operators; Discrete Hamiltonian systems; Weyl-Titchmarsh M-function
Publisher:	Elsevier
ISSN:	0377-0427
Last Modified:	18 Oct 2022 13:15
URI:	https://orca.cardiff.ac.uk/id/eprint/13237

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