Non-Standard Version of Egorov Algebra of Generalized Functions
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2024
- DOI:
- 10.48550/arXiv.2403.07206
- arXiv:
- arXiv:2403.07206
- Bibcode:
- 2024arXiv240307206T
- Keywords:
-
- Mathematics - Functional Analysis;
- Primary: 46F30;
- Secondary: 46F05;
- 46F10;
- 46S10;
- 46S20;
- 03H05;
- 03C50 35D05;
- 35D10;
- 35R05;
- 54B40
- E-Print:
- 10 pages