"On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems" by Stephen L. Clark

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On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems

Journal of Computational and Applied Mathematics

Stephen L. Clark, Missouri University of Science and Technology
Fritz Gesztesy

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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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Discrete Conical Systems,
Weyl-Titchmarsh Theory,
Difference Operators,
Green's Functions,
Hamiltonian Systems

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

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Publication Date

1-1-2004

Publication Date

01 Jan 2004

Disciplines

Citation Information

Stephen L. Clark and Fritz Gesztesy. "On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems" Journal of Computational and Applied Mathematics (2004) ISSN: 0377-0427
Available at: http://works.bepress.com/stephen_clark/26/