Generalized $q$-Fock spaces and structural identities
Functional Analysis
2023-09-11 v2 Mathematical Physics
math.MP
Abstract
Using -calculus we study a family of reproducing kernel Hilbert spaces which interpolate between the Hardy space and the Fock space. We give characterizations of these spaces in terms of classical operators such as integration and backward-shift operators, and their -calculus counterparts. Furthermore, these new spaces allow us to study intertwining operators between classic backward-shift operators and the q-Jackson derivative.
Cite
@article{arxiv.2308.16337,
title = {Generalized $q$-Fock spaces and structural identities},
author = {Daniel Alpay and Paula Cerejeiras and Uwe Kaehler and Baruch Schneider},
journal= {arXiv preprint arXiv:2308.16337},
year = {2023}
}
Comments
References added to the q-Stirling numbers