H. Kuo

collaborators

7 papers

math.PR2001

Segal-Bargmann Transforms of One-mode Interacting Fock Spaces Associated with Gaussian and Poisson Measures

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Let $μ_{g}$ and $μ_{p}$ denote the Gaussian and Poisson measures on $R$ , respectively. We show that there exists a unique measure $μ_{g}$ on $C$ such that u…

math.FA2001

CKS-space in terms of growth functions

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

A class of growth functions $u$ is introduced to construct Hida distributions and test functions. The Legendre transform $ℓ_{u}$ of $u$ is used to define a sequence $\a(n)=(\ell…

math.FA2001

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…

math.CO2001

Bell numbers, log-concavity, and log-convexity

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Let ${b_{k} (n)}_{n = 0}^{\infty}$ be the Bell numbers of order $k$ . It is proved that the sequence ${b_{k} (n) / n!}_{n = 0}^{\infty}$ is log-concave and the sequence $\{b_{k}(n)\}_{n…

math.FA2001

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.

math.FA2001

General characterization theorems and intrinsic topologies in white noise analysis

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Let $u$ be a positive continuous function on $[0, \infty)$ satisfying the conditions: (i) $lim_{r \to \infty} r^{- 1/2} lo g u (r) = \infty$ , (ii) $in f_{r \geq 0} u (r) = 1$ , (iii) $\lim_{r…