6 citations · 21 across the 11 of their papers we have counts for
11 papers
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…
A note on general setting of white noise triple and positive generalized functions
Nobuhiro Asai
Let $\ce^{*}$ be the space of tempered distributions and $\m$ be the standard Gaussian measure on $\ce^{*}$. Being motivated by the distribution theory on infinite dimensional spac…
Segal-Bargmann Transforms of One-mode Interacting Fock Spaces Associated with Gaussian and Poisson Measures
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
Let and denote the Gaussian and Poisson measures on , respectively. We show that there exists a unique measure on such that u…
CKS-space in terms of growth functions
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
A class of growth functions is introduced to construct Hida distributions and test functions. The Legendre transform of is used to define a sequence $\a(n)=(\ell…
Characterization of Hida Measures in white noise analysis
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
The main purpose of this work is to prove Theorem 4.4, so-called, the characterization theorem of Hida measures (generalized measures). As examples of such measures, we shall prese…
Bell numbers, log-concavity, and log-convexity
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
Let be the Bell numbers of order . It is proved that the sequence is log-concave and the sequence $\{b_{k}(n)\}_{n…