Non-Standard Version of Egorov Algebra of Generalized Functions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914710816817152 |
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| author | Todorov, Todor D. |
| author_facet | Todorov, Todor D. |
| contents | We consider a non-standard version of Egorov's algebra of generalized functions, with improved properties of the generalized scalars and embedding of the Schwartz distributions compared with the original standard Egorov's version. The embedding of distributions is similar to, but different from author's works in the past and independently done by Hans Vernaeve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07206 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Standard Version of Egorov Algebra of Generalized Functions Todorov, Todor D. Functional Analysis Primary: 46F30, Secondary: 46F05, 46F10, 46S10, 46S20, 03H05, 03C50 35D05, 35D10, 35R05, 54B40 We consider a non-standard version of Egorov's algebra of generalized functions, with improved properties of the generalized scalars and embedding of the Schwartz distributions compared with the original standard Egorov's version. The embedding of distributions is similar to, but different from author's works in the past and independently done by Hans Vernaeve. |
| title | Non-Standard Version of Egorov Algebra of Generalized Functions |
| topic | Functional Analysis Primary: 46F30, Secondary: 46F05, 46F10, 46S10, 46S20, 03H05, 03C50 35D05, 35D10, 35R05, 54B40 |
| url | https://arxiv.org/abs/2403.07206 |