On the convergence properties of basic series representing special monogenic functions
type: Item
instance of: scholarly article
title: On the convergence properties of basic series representing special monogenic functions
zbMATH Open document ID: 1052.30047
author: M. Abul-Ez
author: D. Constales
published in: Archiv der Mathematik
publication date: 2004-03-07T00:00:00Z
review text: The paper deals with the approximation of the class of ``special'' monogenic functions by polynomials. Monogenic functions are differentiable functions in the kernel of the Cauchy differential operator in a Clifford algebra. There are defined special monogenic polynomials and it is discussed the question, for which space of special monogenic functions these polynomials are a basis? There are obtained approximation results for polynomial basic sets that are a Cannon set. These Cannon basic sets reflect a certain regularity property of the polynomials in the set.
reviewed by: G. Jank
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 2051577
zbMATH Keywords: special monogenic functions
zbMATH Keywords: polynomial approximations
zbMATH Keywords: Cannon set
zbMATH Keywords: entire monogenic functions
MaRDI profile type: Publication
full work available at URL: s00013-003-4670-8
OpenAlex ID: W1975850468
DOI: 10.1007/S00013-003-4670-8
description: scientific article; zbMATH DE number 2051577