An integral transform of generalized functions. II (Q1375077)
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scientific article; zbMATH DE number 1099696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral transform of generalized functions. II |
scientific article; zbMATH DE number 1099696 |
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An integral transform of generalized functions. II (English)
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5 January 1998
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An inversion formula for the integral transform \[ F(s)=2^{-\nu/2}\int^\infty_0(st)^\lambda e^{-st/2}D_\nu(\sqrt{2st})f(t)dt, \] where \(D_\nu\) denotes Weber's parabolic cylinder function, is extended to a class of generalized functions and a uniqueness theorem is shown for it.
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integral transform
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generalized functions
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inversion formula
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uniqueness theorem
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0.95153993
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0.93386173
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