6 citations · 21 across the 11 of their papers we have counts for
8 papers · 1 filter
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…
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…
Characterization of test functions in CKS-space
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
We prove a characterization theorem for the test functions in a CKS-space. Some crucial ideas concerning the growth condition are given.
General characterization theorems and intrinsic topologies in white noise analysis
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
Let be a positive continuous function on satisfying the conditions: (i) , (ii) , (iii) $\lim_{r…