Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space

In this paper, we establish uncertainty principles of Heisenberg type for the Dunkl-type Fock space Fα(Cd)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathscr {F}_{\alpha }(\mathbb {C}^d)$$\end{document} associated with the Coxeter group Z2d\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}^d_2$$\end{document}. These results give a generalization of the results of Chen and Zhu in the paper [Uncertainty principles for the Fock space. Sci Sinica Math 45(11):1847–1854, 2015].