An embedding of Schwartz distributions in the algebra of asymptotic functions
type: Item
instance of: scholarly article
title: An embedding of Schwartz distributions in the algebra of asymptotic functions
zbMATH Open document ID: 0916.46028
DOI: 10.1155/S0161171298000593
author: Michael Oberguggenberger
author: Todor D. Todorov
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-07-25T00:00:00Z
full work available at URL: https://eudml.org/doc/48172
review text: Summary: We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper ``asymptotic function'', similar to but different from J. F. Colombeau's algebras of new generalized functions.
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46S20
zbMATH DE Number: 1180632
zbMATH Keywords: nonlinear theory of generalized functions
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: nonstandard analysis
zbMATH Keywords: nonstandard asymptotic analysis
zbMATH Keywords: asymptotic function
zbMATH Keywords: multiplication of Schwartz distributions
zbMATH Keywords: embedding the space of distributions into a differential algebra of generalized functions
zbMATH Keywords: Colombeau's algebras of new generalized functions
MaRDI profile type: Publication
OpenAlex ID: W2113308932
description: scientific article; zbMATH DE number 1180632