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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2403.15661 |
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| _version_ | 1866911810692579328 |
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| author | Oberguggenberger, M. Todorov, T. |
| author_facet | Oberguggenberger, M. Todorov, T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Embedding of Schwartz Distributions in the Algebra of Asymptotic Functions Oberguggenberger, M. Todorov, T. Functional Analysis 1991 AMS Subject Classification Codes: 03H05, 12J25, 46F10, 46820 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. |
| title | An Embedding of Schwartz Distributions in the Algebra of Asymptotic Functions |
| topic | Functional Analysis 1991 AMS Subject Classification Codes: 03H05, 12J25, 46F10, 46820 |
| url | https://arxiv.org/abs/2403.15661 |