@article{oai:aue.repo.nii.ac.jp:00005971,
author = {Asai, Nobuhiro and Bożejko, Marek and Hasebe, Takahiro},
issue = {2},
journal = {Journal of Mathematical Physics},
month = {Feb},
note = {text, Let ν<_α,_q >be the probability and orthogonality measure for the q-Meixner-Pollaczek orthogonal polynomials, which has appeared in the work of Bożejko, Ejsmont, and Hasebe [J. Funct. Anal. 269, 1769–1795 (2015)] as the distribution of the (α,q)-Gaussian process (the Gaussian process of type B) over the (α,q)-Fock space (the Fock space of type B). The main purpose of this paper is to find the radial Bargmann representation of ν<_α,_q>. Our main results cover not only the representation of q-Gaussian distribution by van Leeuwen and Maassen [J. Math. Phys. 36, 4743–4756 (1995)] but also of q^2-Gaussian and symmetric free Meixner distributions on R. In addition, non-trivial commutation relations satisfied by (α,q)-operators are presented.},
title = {Radial Bargmann representation for the Fock space of type B},
volume = {57},
year = {2016}
}