6 citations · 16 across the 8 of their papers we have counts for
8 papers
On near-martingales and a class of anticipating linear SDEs
Hui-Hsiung Kuo, Pujan Shrestha, Sudip Sinha +1
The primary goal of this paper is to prove a near-martingale optional stopping theorem and establish solvability and large deviations for a class of anticipating linear stochastic…
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…
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.