Regularization of distributions
type: Item
instance of: scholarly article
title: Regularization of distributions
zbMATH Open document ID: 0923.46041
DOI: 10.1155/S016117129800088X
author: R. Estrada
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-10-25T00:00:00Z
full work available at URL: https://eudml.org/doc/48265
review text: Summary: We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46F20
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 1230036
zbMATH Keywords: generalized function
zbMATH Keywords: harmonic function
zbMATH Keywords: existence of distributional regularizations
zbMATH Keywords: functions defined in the complement of a hypersurface
zbMATH Keywords: distributional boundary values of harmonic and analytic functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1230036