Hyperfinite representation of distributions
type: Item
instance of: scholarly article
title: Hyperfinite representation of distributions
zbMATH Open document ID: 1030.46110
DOI: 10.1007/BF02829532
author: R. Smith
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2004-02-22T00:00:00Z
review text: The authors investigate the hyperfinite representation of distributions following the nonstandard theory of distributions developed in [\textit{R. F. Hoskins} and \textit{J. Sousa Pinto}, Port. Math. 48, 195-216 (1991; Zbl 0765.46060)]. They give a different approach to the method introduced by \textit{M. Kinoshita} [Osaka J. Math. 25, 805-824 (1988; Zbl 0724.46040)] and [Osaka J. Math. 27, 843-861 (1990; Zbl 0752.46022)]. Products and Fourier transforms of representatives of distributions are also analysed.
Mathematics Subject Classification ID: 46S20
Mathematics Subject Classification ID: 46F05
zbMATH DE Number: 1553300
zbMATH Keywords: nonstandard analysis
zbMATH Keywords: hyperfinite representation
zbMATH Keywords: distributions
reviewed by: Lourdes Rodríguez-Mesa
MaRDI profile type: Publication
cites work: Discrete representations of standard distributions
cites work: Q3980436
cites work: Non-standard representations of distributions. I
cites work: Non-standard representations of distributions. II
cites work: Q4040436
cites work: Contribution to non-standard analysis
description: scientific article; zbMATH DE number 1553300