Inversion and structure formulae for a generalized Laplace transform (Q1317567)
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scientific article; zbMATH DE number 536536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inversion and structure formulae for a generalized Laplace transform |
scientific article; zbMATH DE number 536536 |
Statements
Inversion and structure formulae for a generalized Laplace transform (English)
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22 October 1995
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A so-called Weber transform in certain spaces of generalized functions with functions of the parabolic cylinder \(D_ \nu\) in the kernel is investigated. An inversion formula and a structure theorem is proved. The inversion formula represents the original as a product of Laplace transforms and their inverses.
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factorization
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Weber transform
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spaces of generalized functions
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parabolic cylinder
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kernel
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inversion formula
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structure theorem
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product of Laplace transforms and their inverses
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