Imbedding of infinite dimensional distributions into simplified Colombeau type algebras

Warning The system is temporarily closed to updates for reporting purpose.

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

Warning
There is a more recent version of this item available.
Full text not available from this repository. (Request a copy)

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

Actions (login required)

View Item
View Item