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• W1978533432 abstract "Let $mu_p^{(q)}$ be the q-deformed Poisson measure in the sense of Saitoh Yoshida and $nu_p$ be the measure given by Equation eqref{eq:nu-q}. In this short paper, we introduce the q-deformed analogue of the Segal-Bargmann transform associated with $mu_p^{(q)}$. We prove that our Segal-Bargmann transform is a unitary map of $L^2(mu_p^{(q)})$ onto the q-deformed Hardy space ${cal H}^2(nu_q)$. Moreover, we give the Segal-Bargmann representation of the multiplication operator by $x$ in $L^2(mu_p^{(q)})$, which is a linear combination of the q-creation, q-annihilation, q-number, and scalar operators." @default.
• W1978533432 created "2016-06-24" @default.
• W1978533432 creator A5057878036 @default.
• W1978533432 date "2001-04-27" @default.
• W1978533432 modified "2023-09-27" @default.
• W1978533432 title "Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials" @default.
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