Spectral theory from the second-order \(q\)-difference operator

DOI10.1155/2007/16595zbMath1147.47026OpenAlexW1985429958MaRDI QIDQ925411

Lazhar Dhaouadi

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54604

zbMATH Keywords

Poincaré inequalityzeta functionspectral measuresecond-order \(q\)-difference operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Linear difference operators (47B39)

Related Items (1)

A few properties of the third Jackson \(q\)-Bessel function

Cites Work

• On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
• The roots of the third J. Jckson \(q\)-Bessel function
• On q-Analogues of the Fourier and Hankel Transforms
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
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