Products of distributions: Nonstandard methods
type: Item
instance of: scholarly article
title: Products of distributions: Nonstandard methods
zbMATH Open document ID: 0662.46048
DOI: 10.4171/ZAA/311
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1988-01-01T00:00:00Z
review text: Let S and T be distributions on \(R^ n\) and define their product as \(\lim_{\epsilon \to 0}(S*\phi_{\epsilon})(T*\phi_{\epsilon})\) provided the limit exists in \({\mathcal D}'(R^ n)\) for certain classes of delta-nets. Four such classes of delta-nets are considered in the literature leading to four definitions of the product. In this work the author obtains nostandard criteria for the existence of some of these products as well as new standard results concerning the relationship between them.
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46S20
zbMATH DE Number: 4082295
zbMATH Keywords: product of distributions
zbMATH Keywords: standard distributions
zbMATH Keywords: delta-nets
zbMATH Keywords: nostandard criteria for the existence of some of these products
author: Michael Oberguggenberger
reviewed by: Ioana Ciorănescu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4082295