A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS

被引：10

作者：

Obata, Nobuaki ^{[1
]}

Ouerdiane, Habib ^{[2
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan

[2] Univ Tunis El Manar, Fac Sci, Dept Math, Tunis 1060, Tunisia

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2011年 / 14卷 / 04期

基金：

日本学术振兴会;

关键词：

White noise calculus; infinite-dimensional holomorphic function; convolution operator; convolution product; Wick product; S-transform; Laplace transform; HOLOMORPHIC-FUNCTIONS; FOCK SPACE; GROWTH;

D O I：

10.1142/S0219025711004535

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive some characteristic properties of the convolution operator acting on white noise functions and prove that the convolution product of white noise distributions coincides with their Wick product. Moreover, we show that the S-transform and the Laplace transform coincide on Fock space.

引用

页码：661 / 674

页数：14

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