19 citations · 53 across the 7 of their papers we have counts for
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The Double Fock Space of Type B
Marek Bożejko, Wiktor Ejsmont
In this article, we introduce the notion of a double Fock space of type B. We will show that this new construction is compatible with combinatorics of counting positive and negativ…
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…
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…
Fock space associated to Coxeter group of type B
Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
In this article we construct a generalized Gaussian process coming from Coxeter groups of type B. It is given by creation and annihilation operators on an -Fock space, which…