On some contributions of John Horváth to the theory of distributions
type: Item
instance of: scholarly article
title: On some contributions of John Horváth to the theory of distributions
zbMATH Open document ID: 1063.46027
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-10-12T00:00:00Z
review text: This paper is an exposition of some contributions of Professor J. Horváth to the theory of distributions. The first section is concerned with the nature of singular integrals and special emphasis is placed on the study of the Riesz kernels. The second section deals with analytic continuation of distribution-valued functions. Applications to the derivation of the fundamental solution of some differential operators are included, as well as the connection with Hadamard's finite parts. The search for a definition of convolution as general and symmetric as possible is the content of the final section. As an application of the general convolution, the author presents a composition formula for elliptic Riesz kernels.
reviewed by: Antonio Galbis
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 46N20
zbMATH DE Number: 2107194
zbMATH Keywords: singular integral operator
zbMATH Keywords: distributions
zbMATH Keywords: convolution of distributions
author: Norbert Ortner
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.04.036
OpenAlex ID: W1970110739
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On some contributions of John Horváth to the theory of distributions (DOI)
DOI: 10.1016/J.JMAA.2004.04.036