Çapar, Uluğ (2022) Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. Monatshefte fur Mathematik, 199 (4). pp. 755-770. ISSN 0026-9255 (Print) 1436-5081 (Online)
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Official URL: https://dx.doi.org/10.1007/s00605-022-01692-3
Abstract
Using a d-dimensional Gaussian probability space, a simplified Colombeau-type algebra is constructed containing the Meyer-Watanabe distributions. A parallel construction starting by a certain Gelfand triplet also includes the Hida distributions. As an application a new interpretation of the Feynman integrand as a generalized function in our sense is proposed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 46F25; 46F80; Asymptotic Colombeau extension; Donsker’s delta function; Feynman integrand; Hida distributions; Meyer-Watanabe distributions; Sharp uniform topology |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Uluğ Çapar |
| Date Deposited: | 06 Sep 2023 14:32 |
| Last Modified: | 06 Sep 2023 14:32 |
| URI: | https://research.sabanciuniv.edu/id/eprint/47776 |
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Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. (deposited 23 Aug 2022 23:12)
- Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. (deposited 06 Sep 2023 14:32) [Currently Displayed]
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