Shifting and variational properties for Fourier-Feynman transform and convolution (Q886936)
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scientific article; zbMATH DE number 6499099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shifting and variational properties for Fourier-Feynman transform and convolution |
scientific article; zbMATH DE number 6499099 |
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Shifting and variational properties for Fourier-Feynman transform and convolution (English)
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27 October 2015
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The author summarizes the contents of this paper in the abstract as follows: ``Shifting, scaling, modulation, and variational properties for the Fourier-Feynman transform of functionals in a Banach algebra \(S\) are given. \textit{R. H. Cameron} and \textit{D. A. Storvick}'s translation theorem [Rev. Roum. Math. Pures Appl. 27, No. 9, 937--944 (1982; Zbl 0507.28009)] can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the convolution product of functionals in \(S\).''
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