An embedding of Schwartz distributions in the algebra of asymptotic functions (Q1392689)
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scientific article; zbMATH DE number 1180632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An embedding of Schwartz distributions in the algebra of asymptotic functions |
scientific article; zbMATH DE number 1180632 |
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An embedding of Schwartz distributions in the algebra of asymptotic functions (English)
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25 July 1999
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Summary: We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper ``asymptotic function'', similar to but different from J. F. Colombeau's algebras of new generalized functions.
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nonlinear theory of generalized functions
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asymptotic expansion
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nonstandard analysis
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nonstandard asymptotic analysis
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asymptotic function
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multiplication of Schwartz distributions
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embedding the space of distributions into a differential algebra of generalized functions
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Colombeau's algebras of new generalized functions
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