On distribution products in Colombeau algebra \(\xi({\mathbf R})\) (Q2762952)
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scientific article; zbMATH DE number 1689803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On distribution products in Colombeau algebra \(\xi({\mathbf R})\) |
scientific article; zbMATH DE number 1689803 |
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16 January 2002
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Colombeau algebra
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distribution space
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product of distributions
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On distribution products in Colombeau algebra \(\xi({\mathbf R})\) (English)
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The paper under consideration deals with distributional products in Colombeau algebra containing the space of Schwartz distributions. The last fact enables the author to evaluate products of distributions in terms of distributions again. More precisely, a general property of the distribution products in Colombeau algebra is established and several concrete examples of products of distributions with coinciding singularities are given.
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