Basic sets of special monogenic polynomials in Fréchet modules
type: Item
instance of: scholarly article
title: Basic sets of special monogenic polynomials in Fréchet modules
zbMATH Open document ID: 1412.30138
DOI: 10.1155/2017/2075938
author: Gamal Farghaly Hassan
author: Lassaad Aloui
author: Allal Bakali
published in: Journal of Complex Analysis
publication date: 2019-03-26T00:00:00Z
review text: Summary: This article is concerned with the study of the theory of basic sets in Fréchet modules in Clifford analysis. The main aim of this account, which is based on functional analysis consideration, is to formulate criteria of general type for the effectiveness (convergence properties) of basic sets either in the space itself or in a subspace of finer topology. By attributing particular forms for the Fréchet module of different classes of functions, conditions are derived from the general criteria for the convergence properties in open and closed balls. Our results improve and generalize some known results in complex and Clifford setting concerning the effectiveness of basic sets.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 7042058
zbMATH Keywords: Clifford analysis
zbMATH Keywords: Fréchet modules
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2075938
OpenAlex ID: W2589036165
Wikidata QID: Q59145700
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description: scientific article; zbMATH DE number 7042058