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math.FA2016★ 19 cited
Noncommutative probability of type D
Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type D. The construction is analogous to that of the -Fock space (of type A) and the $(α,q…
math.FA2016★ 5 cited
Radial Bargmann representation for the Fock space of type B
Nobuhiro Asai, Marek Bożejko, Takahiro Hasebe
Let be the probability and orthogonality measure for the -Meixner-Pollaczek orthogonal polynomials, which has appeared in \cite{BEH15} as the distribution of the $(α,q…