ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTION

被引：80

作者：

HUFFMAN, T

PARK, C

SKOUG, D

机构：

[1] MIAMI UNIV,DEPT MATH & STAT,OXFORD,OH 45056

[2] UNIV NEBRASKA,DEPT MATH & STAT,LINCOLN,NE 68588

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 02期

关键词：

WIENER MEASURE; FOURIER-FEYNMAN TRANSFORM; CONVOLUTION;

D O I：

10.2307/2154908

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develop an L(p) Fourier-Feynman theory for a class of functionals on Wiener space of the form F(x) = f(integral(0)(T) alpha(1)dx,..., integral(0)(T) alpha(n)dr). We then define a convolution product for functionals on Wiener space and show that the Fourier-Feynman transform of the convolution product is a product of Fourier-Feynman transforms.

引用

页码：661 / 673

页数：13

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