Treffer: Distributions and partial differential equations on superspace

Title:
Distributions and partial differential equations on superspace
Authors:
A. Yu. Khrenninkov
Source:
Journal of Mathematical Sciences. 79:816-870
Publisher Information:
Springer Science and Business Media LLC, 1996.
Publication Year:
1996
Subject Terms:
Banach superalgebras, Super structures, Superalgebras, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions, non-Archimedean functional analysis, 0103 physical sciences, partial differential equations, differential and integral calculus, 0101 mathematics, Analysis on supermanifolds or graded manifolds, 01 natural sciences, superspace, Operations with distributions and generalized functions
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1573-8795
1072-3374
DOI:
10.1007/bf02362841
Access URL:
https://zbmath.org/903624
https://doi.org/10.1007/bf02362841
https://rd.springer.com/article/10.1007/BF02362841
https://link.springer.com/article/10.1007/BF02362841
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....c9f4f0e6d8b5ad44dcdff5fde1faae06
Database:
OpenAIRE

Weitere Informationen

The paper is a survey article on the subject. It consists of two chapters. The first chapter `Analysis on superspace over Banach superalgebras' of this survey is devoted to differential and integral calculus on superspaces over supercommutative Banach superalgebras, and also to other superspace models. The second chapter `Distributions on the superspace' of the survey is mainly devoted to results of the author on partial differential equations and distributions on superspace. Some unsolved problems and possible generalizations have been mentioned in the end. As claimed by the author, the article is a result of discussion among a large group of mathematicians and physicists working in these specialized areas. The survey contains a long list consisting of research articles of the researchers working in the area, and will be useful to the specialists working on the subject.