Fourier-Feynman transform, convolution and first variation

J. M. Ahn; K. S. Chang; B. S. Kim; I. Yoo

doi:10.1023/A:1025041525913

Fourier-Feynman transform, convolution and first variation

J. M. Ahn, K. S. Chang, B. S. Kim, I. Yoo

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functional in the Fresnel class ℱ(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.

Original language	English
Pages (from-to)	215-235
Number of pages	21
Journal	Acta Mathematica Hungarica
Volume	100
Issue number	3
DOIs	https://doi.org/10.1023/A:1025041525913
State	Published - Aug 2003

Keywords

Abstract Wiener space
Analytic Feynman integral
Convolution
First variation
Fresnel class
L analytic Fourier-Feynman transform

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title = "Fourier-Feynman transform, convolution and first variation",

abstract = "We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functional in the Fresnel class ℱ(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.",

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AU - Chang, K. S.

AU - Kim, B. S.

AU - Yoo, I.

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KW - Abstract Wiener space

KW - Analytic Feynman integral

KW - Convolution

KW - First variation

KW - Fresnel class

KW - L analytic Fourier-Feynman transform

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Fourier-Feynman transform, convolution and first variation

Abstract

Keywords

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