Integral formula of isotonic functions over unbounded domain in Clifford analysis
type: Item
instance of: scholarly article
title: Integral formula of isotonic functions over unbounded domain in Clifford analysis
zbMATH Open document ID: 1191.30018
author: Ku Min
published in: Advances in Applied Clifford Algebras
publication date: 2010-04-20T00:00:00Z
review text: The author considers an isotonic Dirac system in a class of very general unbounded domains in \(\mathbb{R}^n\) \((n= 2k)\). Such a system can be described by \[ D_{x_1} f(x)+ i\widetilde f(x)D_{x_2}, \] where \(x_1= \sum_{j=1} 1me_i x_i\), \(x_2= \sum^m_{j=1} e_j x_{m+j}\) and \(D_{x_i}\) \((i= 1,2)\) are the corresponding Dirac operators. Borel-Pompeiu's integral formula is obtained. A relation to the Hermitean monogeneity is deduced. The author finds a formula of Martinelli-Bochner type over this class of domains.
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 58A10
zbMATH DE Number: 5695459
zbMATH Keywords: isotonic Dirac system
zbMATH Keywords: Clifford analysis
zbMATH Keywords: integral representaion
MaRDI profile type: Publication
full work available at URL: s00006-008-0146-z
OpenAlex ID: W2015269581
DOI: 10.1007/S00006-008-0146-Z
description: scientific article; zbMATH DE number 5695459