Non-self-adjoint difference operators and their spectrum

DOI10.1098/rspa.2004.1416zbMath1145.47303OpenAlexW2098044257MaRDI QIDQ5422940

Robert Howard Wilson

Publication date: 30 October 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1416

zbMATH Keywords

difference operatorsspectral theorylimit pointlimit circleHellinger-Nevanlinna \(m\)-function

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Difference operators (39A70) Linear difference operators (47B39)

Related Items (5)

\(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients ⋮ The theory for \(J\)-Hermitian subspaces in a product space ⋮ Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations ⋮ Classification of non-self-adjoint singular Sturm-Liouville difference equations ⋮ Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales

Cites Work

• Orthogonal polynomials and extensions of Copson's inequality
• A limit point criterion with applications to nonselfadjoint equations
• Discrete and continuous boundary problems
• On the spectrum of second-order differential operators with complex coefficients
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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