Relationships Involving Transforms and Convolutions Via the Translation Theorem |
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| Authors: | Hyun Soo Chung David Skoug Seung Jun Chang |
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| Affiliation: | 1. Department of Mathematics , Dankook University , Cheonan , Korea;2. Department of Mathematics , University of Nebraska-Lincoln , Lincoln , Nebraska , USA |
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| Abstract: | In this article, we use the translation theorem to obtain several relationships involving integral transforms and convolution products. In particular, we obtain several useful formulas involving various functionals, which arise naturally in quantum mechanics. |
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| Keywords: | Fubini theorem Generalized Brownian motion process Generalized convolution product Generalized integral transform Translation theorem |
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