Relationships involving generalized Fourier-Feynman transform, convolution and first variation

K. S. Chang; D. H. Cho; B. S. Kim; T. S. Song; I. Yoo

doi:10.1080/10652460412331320359

Relationships involving generalized Fourier-Feynman transform, convolution and first variation

K. S. Chang, D. H. Cho, B. S. Kim, T. S. Song, I. Yoo

School of Natural Sciences

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

18 Scopus citations

Abstract

Huffman, Park and Skoug introduced a generalized Fourier-Feynman transform (GFFT) and a generalized convolution product (GCP) and they obtained the relationships between the GFFT and GCP for functionals in the Banach algebra S introduced by Cameron and Storvick. In this paper, we investigate various relationships among the GFFT, GCP and generalized first variation for functionals in S.

Original language	English
Pages (from-to)	391-405
Number of pages	15
Journal	Integral Transforms and Special Functions
Volume	16
Issue number	5-6
DOIs	https://doi.org/10.1080/10652460412331320359
State	Published - Jul 2005

Keywords

Convolution product
Feynman integral
First variation
Fourier-Feynman transform
Wiener space

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abstract = "Huffman, Park and Skoug introduced a generalized Fourier-Feynman transform (GFFT) and a generalized convolution product (GCP) and they obtained the relationships between the GFFT and GCP for functionals in the Banach algebra S introduced by Cameron and Storvick. In this paper, we investigate various relationships among the GFFT, GCP and generalized first variation for functionals in S.",

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AU - Chang, K. S.

AU - Cho, D. H.

AU - Kim, B. S.

AU - Song, T. S.

AU - Yoo, I.

PY - 2005/7

Y1 - 2005/7

N2 - Huffman, Park and Skoug introduced a generalized Fourier-Feynman transform (GFFT) and a generalized convolution product (GCP) and they obtained the relationships between the GFFT and GCP for functionals in the Banach algebra S introduced by Cameron and Storvick. In this paper, we investigate various relationships among the GFFT, GCP and generalized first variation for functionals in S.

AB - Huffman, Park and Skoug introduced a generalized Fourier-Feynman transform (GFFT) and a generalized convolution product (GCP) and they obtained the relationships between the GFFT and GCP for functionals in the Banach algebra S introduced by Cameron and Storvick. In this paper, we investigate various relationships among the GFFT, GCP and generalized first variation for functionals in S.

KW - Convolution product

KW - Feynman integral

KW - First variation

KW - Fourier-Feynman transform

KW - Wiener space

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U2 - 10.1080/10652460412331320359

DO - 10.1080/10652460412331320359

M3 - Article

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EP - 405

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 5-6

ER -

Relationships involving generalized Fourier-Feynman transform, convolution and first variation

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Keywords

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