Paley-Wiener type theorems for Colombeau's generalized functions (Q1909988)
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scientific article; zbMATH DE number 861753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paley-Wiener type theorems for Colombeau's generalized functions |
scientific article; zbMATH DE number 861753 |
Statements
Paley-Wiener type theorems for Colombeau's generalized functions (English)
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10 August 1997
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The Laplace transform in Colombeau's spaces is defined. Paley-Wiener type theorems for two of these spaces do not pose much difficulty as the Laplace transform does not depend on a cutoff function. The last theorem discusses the space in this context and analyzes the estimates of the Laplace transform and the ``conical'' support of the corresponding inverse.
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pseudo-differential calculus
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Laplace transform
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Colombeau's spaces
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Paley-Wiener type theorems
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