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

Monaquel, S. J. and Schmidt, Karl Michael 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: 04 Jun 2017 04:24
URI: http://orca.cf.ac.uk/id/eprint/13237

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