Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function

DOI10.4236/APM.2011.14039zbMath1244.30079OpenAlexW1990242406MaRDI QIDQ2893964

Fethi Soltani

Publication date: 26 June 2012

Published in: Advances in Pure Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4236/apm.2011.14039

zbMATH Keywords

multiplication operator\(q\)-Bessel operator\(q\)-translation operators\(q\)-\(I_{\alpha }\) modified Bessel functiongeneralized \(q\)-Fock spaces

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Bergman spaces and Fock spaces (30H20)

Related Items (3)

Some examples of extremal functions on the Dunkl-type Fock space \(F_k(\mathbb C)\) ⋮ Inversion formulas for the Dunkl-type Segal–Bargmann transform ⋮ APPLICATIONS ON THE BESSEL-STRUVE-TYPE FOCK SPACE

This page was built for publication: Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function