Iterated integral operators in Clifford analysis
type: Item
instance of: scholarly article
title: Iterated integral operators in Clifford analysis
zbMATH Open document ID: 0940.31005
DOI: 10.4171/ZAA/887
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2000-07-24T00:00:00Z
full work available at URL: https://eudml.org/doc/48467
review text: Integral representation formulas are obtained for smooth Clifford-algebra-valued functions \(w\) in bounded smooth domains \(D\) of \(\mathbb{R}^m\). The formulas involve \(\partial^k w\), \(\Delta^k w\), \(\partial\Delta^k w\) on \(D\) and \(\partial D\), with \(\partial\) and \(\Delta\) the Dirac and the Laplace operators.
Mathematics Subject Classification ID: 31B10
Mathematics Subject Classification ID: 30G30
Mathematics Subject Classification ID: 31B30
zbMATH DE Number: 1331704
zbMATH Keywords: Clifford analysis
zbMATH Keywords: Cauchy-Pompeiu representation
zbMATH Keywords: Dirac operator
zbMATH Keywords: Laplace operator
author: Heinrich Begehr
MaRDI profile type: Publication
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OpenAlex ID: W2015005957
description: scientific article; zbMATH DE number 1331704