A MULTIPLE GENERALIZED FOURIER-FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE

被引：19

作者：

Choi, Jae Gil ^{[1
]}

Skoug, David ^{[2
]}

Chang, Seung Jun ^{[1
]}

机构：

[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

Paley-Wiener-Zygmund stochastic integral; Gaussian process; generalized Fourier-Feynman transform; multiple generalized Fourier-Feynman transform; generalized convolution product; CONVOLUTION;

D O I：

10.1142/S0129167X12500681

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we use a rotation property of Wiener measure to define a very general multiple Fourier-Feynman transform on Wiener space. We then proceed to establish its many algebraic properties as well as to establish several relationships between this generalized multiple transform and the corresponding generalized convolution product.

引用

页数：20

共 43 条

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[28] ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTION PRODUCTS ASSOCIATED WITH GAUSSIAN PROCESSES ON WIENER SPACE
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[29] FOURIER-FEYNMAN TRANSFORMS, CONVOLUTIONS AND FIRST VARIATIONS ON THE SPACE OF ABSTRACT WIENER SPACE VALUED CONTINUOUS FUNCTIONS
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[30] Generalized Analytic Fourier-Feynman Transforms with Respect to Gaussian Processes on Function Space
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