title   
  

Imbedding of infinite dimensional distributions into simplified Colombeau type algebras

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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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

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