Uncertainty Principles for the Dunkl-Type Segal–Bargmann Transform

In this work, we establish Heisenberg-type uncertainty principle for the Dunkl-type Segal–Bargmann space Fk(C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_k(\mathbb {C})$$\end{document}. Next, we give Heisenberg-type uncertainty principle, local-type uncertainty principle, Donoho-Stark-type uncertainty principle and Matolcsi-Szücs-type uncertainty principle for the Dunkl-type Segal–Bargmann transform Bk\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {B}_k$$\end{document}.