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Polynomial approximation and maximal convergence on Faber sets

Identifieur interne : 000D92 ( Istex/Corpus ); précédent : 000D91; suivant : 000D93

Polynomial approximation and maximal convergence on Faber sets

Source :

Constructive Approximation [ 0176-4276 ] ; 1994-09-01.

RBID : ISTEX:A77F49582A09CD2B290C408561CDA04AA8BDFB9D

Abstract

Abstract: In this paper we study various problems concerning Faber sets and polynomial approximation on Faber sets. We give various conditions for a compact setK to be a Faber set and we characterize (for a certain class of Faber sets) the range of the Faber operator. Furthermore, we study the convergence behavior of Faber expansions and more general sequences of polynomials which approximate functions that are holomorphic onK and continuous on a level curve of the normalized conformal mapping from ......-...... onto ......-K.

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DOI: 10.1007/BF01212568

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<namePart type="family">Müller</namePart>
<affiliation>Fachbereich 4, Mathematik, Universität Trier, D-54286, Trier, Germany</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="research-article" displayLabel="OriginalPaper"></genre>
<originInfo><publisher>Springer-Verlag</publisher>
<place><placeTerm type="text">New York</placeTerm>
</place>
<dateCreated encoding="w3cdtf">1993-01-14</dateCreated>
<dateIssued encoding="w3cdtf">1994-09-01</dateIssued>
<copyrightDate encoding="w3cdtf">1994</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<physicalDescription><internetMediaType>text/html</internetMediaType>
</physicalDescription>
<abstract lang="en">Abstract: In this paper we study various problems concerning Faber sets and polynomial approximation on Faber sets. We give various conditions for a compact setK to be a Faber set and we characterize (for a certain class of Faber sets) the range of the Faber operator. Furthermore, we study the convergence behavior of Faber expansions and more general sequences of polynomials which approximate functions that are holomorphic onK and continuous on a level curve of the normalized conformal mapping from ......-...... onto ......-K.</abstract>
<relatedItem type="host"><titleInfo><title>Constructive Approximation</title>
</titleInfo>
<titleInfo type="abbreviated"><title>Constr. Approx</title>
</titleInfo>
<genre type="journal" displayLabel="Archive Journal"></genre>
<originInfo><dateIssued encoding="w3cdtf">1994-09-01</dateIssued>
<copyrightDate encoding="w3cdtf">1994</copyrightDate>
</originInfo>
<subject><genre>Mathematics</genre>
<topic>Analysis</topic>
<topic>Numerical Analysis</topic>
</subject>
<identifier type="ISSN">0176-4276</identifier>
<identifier type="eISSN">1432-0940</identifier>
<identifier type="JournalID">365</identifier>
<identifier type="IssueArticleCount">6</identifier>
<identifier type="VolumeIssueCount">4</identifier>
<part><date>1994</date>
<detail type="volume"><number>10</number>
<caption>vol.</caption>
</detail>
<detail type="issue"><number>3</number>
<caption>no.</caption>
</detail>
<extent unit="pages"><start>427</start>
<end>438</end>
</extent>
</part>
<recordInfo><recordOrigin>Springer-Verlag New York Inc., 1994</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">A77F49582A09CD2B290C408561CDA04AA8BDFB9D</identifier>
<identifier type="DOI">10.1007/BF01212568</identifier>
<identifier type="ArticleID">BF01212568</identifier>
<identifier type="ArticleID">Art6</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag New York Inc, 1994</accessCondition>
<recordInfo><recordContentSource>SPRINGER</recordContentSource>
<recordOrigin>Springer-Verlag New York Inc, 1994</recordOrigin>
</recordInfo>
</mods>
</metadata>
<serie></serie>
</istex>
</record>

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Polynomial approximation and maximal convergence on Faber sets

Polynomial approximation and maximal convergence on Faber sets

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