6 citations · 16 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Roles of Log-concavity, log-convexity, and growth order in white noise analysis
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
In this paper we will develop a systematic method to answer the questions (stated in Section 1) with complete generality. As a result, we can solve the difficult…