Shifting and Variational Properties for Fourier-Feynman Transform and Convolution

Shifting and Variational Properties for Fourier-Feynman Transform and Convolution

Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the con...

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Main Author: Byoung Soo Kim
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/580653
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spelling doaj-6f3640279705451b8f0c04fac4bd1aad2020-11-24T22:57:05ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/580653580653Shifting and Variational Properties for Fourier-Feynman Transform and ConvolutionByoung Soo Kim0School of Liberal Arts, Seoul National University of Science and Technology, Seoul 01811, Republic of KoreaShifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the convolution product of functionals in S.http://dx.doi.org/10.1155/2015/580653
collection DOAJ
language English
format Article
sources DOAJ
author Byoung Soo Kim
spellingShingle Byoung Soo Kim
Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
Journal of Function Spaces
author_facet Byoung Soo Kim
author_sort Byoung Soo Kim
title Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
title_short Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
title_full Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
title_fullStr Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
title_full_unstemmed Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
title_sort shifting and variational properties for fourier-feynman transform and convolution
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2015-01-01
description Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the convolution product of functionals in S.
url http://dx.doi.org/10.1155/2015/580653
work_keys_str_mv AT byoungsookim shiftingandvariationalpropertiesforfourierfeynmantransformandconvolution
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