Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series
type: Item
instance of: scholarly article
title: Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series
zbMATH Open document ID: 1320.30084
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
review text: The title explains the goal of the work, and a brief Section 1 ``Introduction'' gives some motivation of it. Section 2 ``Preliminaries'' deals with basic notions of Clifford analysis and with the notion of special monogenic polynomial series and their properties; monogenic means, as always, null solutions of the Cauchy-Riemann operator of Clifford analysis. In Section 3 ``Hadamard three-circle theorem and generalizations'', first, some comments on the original version of the theorem and on generalizations for, e.g., subharmonic functions in \(\mathbb R^m\) are given. Second, a Hadamard three-hyperball type theorem is proved and its application to a property of all Cannon bases of special monogenic polynomials is shown. What is done in Section 4 is seen from its title ``Overconvergence of special monogenic simple series''; what here exactly means ``special'' and ``simple'' is explained previously.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 6420069
zbMATH Keywords: Clifford analysis
zbMATH Keywords: monogenic functions
zbMATH Keywords: Hadamard three-circle theorem
reviewed by: M. Shapiro
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.10.068
OpenAlex ID: W2093227734
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DOI: 10.1016/J.JMAA.2013.10.068
description: scientific article; zbMATH DE number 6420069