The quasiasymptotic expansion at zero and generalized Watson lemma for Colombeau generalized functions (Q2714160)
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scientific article; zbMATH DE number 1603951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The quasiasymptotic expansion at zero and generalized Watson lemma for Colombeau generalized functions |
scientific article; zbMATH DE number 1603951 |
Statements
12 June 2001
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quasiasymptotic expansion at zero
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Laplace transformation in Colombeau spaces
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Abelian type results for Laplace transforms
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The quasiasymptotic expansion at zero and generalized Watson lemma for Colombeau generalized functions (English)
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Quasiasymptotic expansions at zero in the Colombeau algebra of generalized functions and its coherence with this notion for Schwartz distributions is given. A version of Watson's lemma related to the expansion of the Laplace transform of an appropriate generalized Colombeau function is proved. In particular, the asymptotic expansion of \(\delta^2\) and the expansion of its Laplace transform is given.
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