On the generalized convolution for \(F_c, F_s\), and \(K-L\) integral transforms (Q1933315)
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scientific article; zbMATH DE number 6128291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized convolution for \(F_c, F_s\), and \(K-L\) integral transforms |
scientific article; zbMATH DE number 6128291 |
Statements
On the generalized convolution for \(F_c, F_s\), and \(K-L\) integral transforms (English)
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23 January 2013
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New generalized noncommutative convolutions with weight function \(\gamma(y) = y\) are introduced on the spaces \(L^1(\mathbb R_+, x^\alpha e^{-\beta x}).\) They satisfy the usual factorization equalities with respect to various integral transforms (Fourier sine, Fourier cosine and Kontorovich-Lebedev). Several applications are listed.
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generalized convolution
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Fourier sine
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Fourier cosine
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\(K-L\) integral transforms
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