Imbedding of infinite dimensional distributions into simplified Colombeau type algebras

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Çapar, Uluğ (2022) Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. Monatshefte fur Mathematik . ISSN 0026-9255 (Print) 1436-5081 (Online) Published Online First https://dx.doi.org/10.1007/s00605-022-01692-3

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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:	23 Aug 2022 23:12
Last Modified:	23 Aug 2022 23:12
URI:	https://research.sabanciuniv.edu/id/eprint/44064

Available Versions of this Item

Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. (deposited 23 Aug 2022 23:12) [Currently Displayed]
- Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. (deposited 06 Sep 2023 14:32)

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