Distributions and partial differential equations on superspace
type: Item
instance of: scholarly article
title: Distributions and partial differential equations on superspace
zbMATH Open document ID: 0879.46018
DOI: 10.1007/BF02362841
author: A. Yu. Khrenninkov
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-01-19T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46S10
Mathematics Subject Classification ID: 58C50
Mathematics Subject Classification ID: 17C70
Mathematics Subject Classification ID: 17A70
zbMATH DE Number: 903624
zbMATH Keywords: superspace
zbMATH Keywords: Banach superalgebras
zbMATH Keywords: differential and integral calculus
zbMATH Keywords: partial differential equations
reviewed by: T. D. Narang
MaRDI profile type: Publication
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Distributions and partial differential equations on superspace (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf02362841

Distributions and partial differential equations on superspace (OpenAlex ID)
OpenAlex ID: W2074674941