Universal Overconvergence and Ostrowski-Gaps
Identifieur interne : 001655 ( Istex/Corpus ); précédent : 001654; suivant : 001656Universal Overconvergence and Ostrowski-Gaps
Auteurs : J. Müller ; V. Vlachou ; A. YavrianSource :
- Bulletin of the London Mathematical Society [ 0024-6093 ] ; 2006-08.
Abstract
We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions. 2000 Mathematics Subject Classification 30B10.
Url:
DOI: 10.1112/S0024609306018492
Links to Exploration step
ISTEX:DFD36F44BD8F75B40870AA7E5EADD797EDD255B9Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>Universal Overconvergence and Ostrowski-Gaps</title><author><name sortKey="Muller, J" sort="Muller, J" uniqKey="Muller J" first="J." last="Müller">J. Müller</name><affiliation><mods:affiliation>FB IV-Mathematics D-54286 Trier, Germany jmueller@uni-trier.de</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: jmueller@uni-trier.de</mods:affiliation></affiliation></author><author><name sortKey="Vlachou, V" sort="Vlachou, V" uniqKey="Vlachou V" first="V." last="Vlachou">V. Vlachou</name><affiliation><mods:affiliation>Department of Applied Mathematics, University of Crete Knossos Ave, GR-71409 Heraklion, Greece vagia@tem.uoc.gr</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: vagia@tem.uoc.gr</mods:affiliation></affiliation></author><author><name sortKey="Yavrian, A" sort="Yavrian, A" uniqKey="Yavrian A" first="A." last="Yavrian">A. Yavrian</name><affiliation><mods:affiliation>Institute of Mathematics, Armenian National Academy of Sciences Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armenia ayavrian@hotmail.com</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: ayavrian@hotmail.com</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:DFD36F44BD8F75B40870AA7E5EADD797EDD255B9</idno><date when="2006" year="2006">2006</date><idno type="doi">10.1112/S0024609306018492</idno><idno type="url">https://api.istex.fr/document/DFD36F44BD8F75B40870AA7E5EADD797EDD255B9/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001655</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001655</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a">Universal Overconvergence and Ostrowski-Gaps</title><author><name sortKey="Muller, J" sort="Muller, J" uniqKey="Muller J" first="J." last="Müller">J. Müller</name><affiliation><mods:affiliation>FB IV-Mathematics D-54286 Trier, Germany jmueller@uni-trier.de</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: jmueller@uni-trier.de</mods:affiliation></affiliation></author><author><name sortKey="Vlachou, V" sort="Vlachou, V" uniqKey="Vlachou V" first="V." last="Vlachou">V. Vlachou</name><affiliation><mods:affiliation>Department of Applied Mathematics, University of Crete Knossos Ave, GR-71409 Heraklion, Greece vagia@tem.uoc.gr</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: vagia@tem.uoc.gr</mods:affiliation></affiliation></author><author><name sortKey="Yavrian, A" sort="Yavrian, A" uniqKey="Yavrian A" first="A." last="Yavrian">A. Yavrian</name><affiliation><mods:affiliation>Institute of Mathematics, Armenian National Academy of Sciences Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armenia ayavrian@hotmail.com</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: ayavrian@hotmail.com</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Bulletin of the London Mathematical Society</title><idno type="ISSN">0024-6093</idno><idno type="eISSN">1469-2120</idno><imprint><publisher>Oxford University Press</publisher><date type="published" when="2006-08">2006-08</date><biblScope unit="volume">38</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="597">597</biblScope><biblScope unit="page" to="606">606</biblScope></imprint><idno type="ISSN">0024-6093</idno></series><idno type="istex">DFD36F44BD8F75B40870AA7E5EADD797EDD255B9</idno><idno type="DOI">10.1112/S0024609306018492</idno><idno type="ArticleID">38.4.597</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0024-6093</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract">We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions. 2000 Mathematics Subject Classification 30B10.</div></front></TEI><istex><corpusName>oup</corpusName><author><json:item><name>J. Müller</name><affiliations><json:string>FB IV-Mathematics D-54286 Trier, Germany jmueller@uni-trier.de</json:string><json:string>E-mail: jmueller@uni-trier.de</json:string></affiliations></json:item><json:item><name>V. Vlachou</name><affiliations><json:string>Department of Applied Mathematics, University of Crete Knossos Ave, GR-71409 Heraklion, Greece vagia@tem.uoc.gr</json:string><json:string>E-mail: vagia@tem.uoc.gr</json:string></affiliations></json:item><json:item><name>A. Yavrian</name><affiliations><json:string>Institute of Mathematics, Armenian National Academy of Sciences Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armenia ayavrian@hotmail.com</json:string><json:string>E-mail: ayavrian@hotmail.com</json:string></affiliations></json:item></author><subject><json:item><value>Papers</value></json:item></subject><articleId><json:string>38.4.597</json:string></articleId><language><json:string>unknown</json:string></language><originalGenre><json:string>research-article</json:string></originalGenre><abstract>We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions. 2000 Mathematics Subject Classification 30B10.</abstract><qualityIndicators><score>7.07</score><pdfVersion>1.2</pdfVersion><pdfPageSize>493.228 x 700.157 pts</pdfPageSize><refBibsNative>false</refBibsNative><keywordCount>1</keywordCount><abstractCharCount>232</abstractCharCount><pdfWordCount>4686</pdfWordCount><pdfCharCount>19760</pdfCharCount><pdfPageCount>10</pdfPageCount><abstractWordCount>32</abstractWordCount></qualityIndicators><title>Universal Overconvergence and Ostrowski-Gaps</title><refBibs><json:item><author><json:item><name>G Costakis</name></json:item></author><host><pages><last>175</last><first>157</first></pages><author></author><title>Math. Proc. Cambr</title><publicationDate>2000</publicationDate></host><title>Some remarks on universal functions and Taylor series</title><publicationDate>2000</publicationDate></json:item><json:item><author><json:item><name>G Costakis</name></json:item><json:item><name>V Nestoridis</name></json:item><json:item><name>I Papadoperakis</name></json:item></author><host><pages><last>571</last><first>48</first></pages><author></author><title>Proc. Edinb</title><publicationDate>2005</publicationDate></host><publicationDate>2005</publicationDate></json:item><json:item><host><pages><last>81</last><first>41</first></pages><author><json:item><name>W Gehlen</name></json:item><json:item><name>W Luh</name></json:item><json:item><name>J Müller</name></json:item></author><title>On the existence of O-universal functions', Complex Variables</title><publicationDate>2000</publicationDate></host></json:item><json:item><host><author><json:item><name>E Hille</name></json:item></author><title>Analytic function theory</title><publicationDate>1977</publicationDate></host></json:item><json:item><author><json:item><name>W Luh</name></json:item></author><host><volume>88</volume><author></author><title>Matrix-Transformierten', Mitt. Math. Sem. Giessen</title><publicationDate>1970</publicationDate></host><title>Approximation analytischer Functionen durchdurch¨durchüberkonvergente Potenzreihen und deren</title><publicationDate>1970</publicationDate></json:item><json:item><author><json:item><name>W Luh</name></json:item></author><host><volume>6</volume><pages><last>207</last><first>191</first></pages><author></author><title>Analysis</title><publicationDate>1986</publicationDate></host><title>Universal approximation properties of overconvergent power series on open sets</title><publicationDate>1986</publicationDate></json:item><json:item><author><json:item><name>A Melas</name></json:item></author><host><volume>51</volume><pages><last>1551</last><first>1539</first></pages><author></author><title>Ann. Inst. Fourier Grenoble</title><publicationDate>2001</publicationDate></host><title>Universal functions on non-simply connected domains'</title><publicationDate>2001</publicationDate></json:item><json:item><author><json:item><name>V,A Melas</name></json:item><json:item><name> Nestoridis</name></json:item></author><host><volume>157</volume><pages><last>176</last><first>138</first></pages><author></author><title>Adv. Math</title><publicationDate>2001</publicationDate></host><title>Universality of Taylor series as a generic property of holomorphic functions</title><publicationDate>2001</publicationDate></json:item><json:item><author><json:item><name>A,J Müller</name></json:item><json:item><name> Yavrian</name></json:item></author><host><volume>34</volume><pages><last>199</last><first>189</first></pages><author></author><title>Bull. London Math. Soc</title><publicationDate>2002</publicationDate></host><title>On polynomial sequences with restricted growth near infinity'</title><publicationDate>2002</publicationDate></json:item><json:item><author><json:item><name>V Nestoridis</name></json:item></author><host><volume>46</volume><pages><last>1306</last><first>1293</first></pages><author></author><title>Ann. Inst. Fourier Grenoble</title><publicationDate>1996</publicationDate></host><publicationDate>1996</publicationDate></json:item><json:item><author><json:item><name>V Nestoridis</name></json:item></author><host><pages><last>430</last><first>421</first></pages><author></author><title>Proc. Conf. Nicosia 1997) (World Scientific</title><publicationDate>1997</publicationDate></host><title>An extension of the notion of universal Taylor series', Computational methods and function theory</title><publicationDate>1997</publicationDate></json:item><json:item><author><json:item><name>A Ostrowski</name></json:item></author><host><pages><last>27</last><first>15</first></pages><author></author><title>Potential theory in the complex plane</title><publicationDate>1930</publicationDate></host><publicationDate>1930</publicationDate></json:item><json:item><host><author><json:item><name>W Rudin</name></json:item></author><title>Real and complex analysis</title><publicationDate>1987</publicationDate></host></json:item><json:item><author><json:item><name>V Vlachou</name></json:item></author><host><volume>47</volume><pages><last>129</last><first>123</first></pages><author></author><title>Complex Variables</title><publicationDate>2002</publicationDate></host><title>A universal Taylor series in the doubly connected domain C C {1}</title><publicationDate>2002</publicationDate></json:item><json:item><author><json:item><name>V Vlachou</name></json:item></author><host><volume>22</volume><pages><last>161</last><first>149</first></pages><author></author><title>Analysis</title><publicationDate>2002</publicationDate></host><title>On some classes of universal functions'</title><publicationDate>2002</publicationDate></json:item><json:item><author><json:item><name>V Vlachou</name></json:item></author><host><volume>47</volume><pages><last>1053</last><first>1045</first></pages><author></author><title>Complex Variables</title><publicationDate>2002</publicationDate></host><title>Coincidence of two classes of universal Laurent series</title><publicationDate>2002</publicationDate></json:item><json:item><host><author><json:item><name>J Müller</name></json:item><json:item><name>Fb Iv-Mathematics</name></json:item><json:item><name>D-54286 Trier Germany Jmueller@uni-Trier</name></json:item><json:item><name>A De</name></json:item></author><title>Yavrian Institute of Mathematics Armenian National Academy of Sciences Marshal Bagramian Ave. 24b 375 019 Yerevan Armenia ayavrian@hotmail</title></host></json:item></refBibs><genre><json:string>research-article</json:string></genre><host><volume>38</volume><publisherId><json:string>blms</json:string></publisherId><pages><last>606</last><first>597</first></pages><issn><json:string>0024-6093</json:string></issn><issue>4</issue><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><eissn><json:string>1469-2120</json:string></eissn><title>Bulletin of the London Mathematical Society</title></host><categories><wos><json:string>science</json:string><json:string>mathematics</json:string></wos><scienceMetrix><json:string>natural sciences</json:string><json:string>mathematics & statistics</json:string><json:string>general mathematics</json:string></scienceMetrix></categories><publicationDate>2006</publicationDate><copyrightDate>2006</copyrightDate><doi><json:string>10.1112/S0024609306018492</json:string></doi><id>DFD36F44BD8F75B40870AA7E5EADD797EDD255B9</id><score>0.2865746</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/DFD36F44BD8F75B40870AA7E5EADD797EDD255B9/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/DFD36F44BD8F75B40870AA7E5EADD797EDD255B9/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/DFD36F44BD8F75B40870AA7E5EADD797EDD255B9/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a">Universal Overconvergence and Ostrowski-Gaps</title><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>Oxford University Press</publisher><availability><p>© London Mathematical Society</p></availability><date>2006</date></publicationStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a">Universal Overconvergence and Ostrowski-Gaps</title><author xml:id="author-1"><persName><forename type="first">J.</forename><surname>Müller</surname></persName><email>jmueller@uni-trier.de</email><affiliation>FB IV-Mathematics D-54286 Trier, Germany jmueller@uni-trier.de</affiliation></author><author xml:id="author-2"><persName><forename type="first">V.</forename><surname>Vlachou</surname></persName><email>vagia@tem.uoc.gr</email><affiliation>Department of Applied Mathematics, University of Crete Knossos Ave, GR-71409 Heraklion, Greece vagia@tem.uoc.gr</affiliation></author><author xml:id="author-3"><persName><forename type="first">A.</forename><surname>Yavrian</surname></persName><email>ayavrian@hotmail.com</email><affiliation>Institute of Mathematics, Armenian National Academy of Sciences Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armenia ayavrian@hotmail.com</affiliation></author></analytic><monogr><title level="j">Bulletin of the London Mathematical Society</title><idno type="pISSN">0024-6093</idno><idno type="eISSN">1469-2120</idno><imprint><publisher>Oxford University Press</publisher><date type="published" when="2006-08"></date><biblScope unit="volume">38</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="597">597</biblScope><biblScope unit="page" to="606">606</biblScope></imprint></monogr><idno type="istex">DFD36F44BD8F75B40870AA7E5EADD797EDD255B9</idno><idno type="DOI">10.1112/S0024609306018492</idno><idno type="ArticleID">38.4.597</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>2006</date></creation><abstract><p>We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions. 2000 Mathematics Subject Classification 30B10.</p></abstract><textClass><keywords scheme="keyword"><list><item><term>Papers</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="2006-08">Published</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2016-12-22">References added</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/DFD36F44BD8F75B40870AA7E5EADD797EDD255B9/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="corpus oup" wicri:toSee="no header"><istex:docType PUBLIC="-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" URI="journalpublishing.dtd" name="istex:docType"></istex:docType><istex:document><article article-type="research-article"><front><journal-meta><journal-id journal-id-type="hwp">blms</journal-id><journal-id journal-id-type="publisher-id">blms</journal-id><journal-id journal-id-type="pmc">blms</journal-id><journal-id journal-id-type="publisher">Bulletin of the London Mathematical Society</journal-id><journal-title>Bulletin of the London Mathematical Society</journal-title><issn pub-type="epub">1469-2120</issn><issn pub-type="ppub">0024-6093</issn><publisher><publisher-name>Oxford University Press</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">38.4.597</article-id><article-id pub-id-type="doi">10.1112/S0024609306018492</article-id><article-categories><subj-group><subject>Papers</subject></subj-group></article-categories><title-group><article-title>Universal Overconvergence and Ostrowski-Gaps</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Müller</surname><given-names>J.</given-names></name><xref ref-type="aff" rid="au1"></xref></contrib><contrib contrib-type="author"><name><surname>Vlachou</surname><given-names>V.</given-names></name><xref ref-type="aff" rid="au2"></xref></contrib><contrib contrib-type="author"><name><surname>Yavrian</surname><given-names>A.</given-names></name><xref ref-type="aff" rid="au3"></xref></contrib><aff id="au1"><institution>FB IV-Mathematics</institution> <addr-line>D-54286 Trier, Germany</addr-line> <email>jmueller@uni-trier.de</email></aff><aff id="au2"><institution>Department of Applied Mathematics, University of Crete</institution> <addr-line>Knossos Ave, GR-71409 Heraklion, Greece</addr-line> <email>vagia@tem.uoc.gr</email></aff><aff id="au3"><institution>Institute of Mathematics, Armenian National Academy of Sciences</institution> <addr-line>Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armenia</addr-line> <email>ayavrian@hotmail.com</email></aff></contrib-group><pub-date pub-type="ppub"><month>8</month><year>2006</year></pub-date><volume>38</volume><issue>4</issue><fpage>597</fpage><lpage>606</lpage><history><date date-type="received"><day>12</day><month>11</month><year>2004</year></date><date date-type="rev-recd"><day>16</day><month>5</month><year>2005</year></date></history><copyright-statement>© London Mathematical Society</copyright-statement><copyright-year>2006</copyright-year><abstract><p>We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions. 2000 <italic>Mathematics Subject Classification</italic> 30B10.</p></abstract></article-meta></front></article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo><title>Universal Overconvergence and Ostrowski-Gaps</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Universal Overconvergence and Ostrowski-Gaps</title></titleInfo><name type="personal"><namePart type="given">J.</namePart><namePart type="family">Müller</namePart><affiliation>FB IV-Mathematics D-54286 Trier, Germany jmueller@uni-trier.de</affiliation><affiliation>E-mail: jmueller@uni-trier.de</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">V.</namePart><namePart type="family">Vlachou</namePart><affiliation>Department of Applied Mathematics, University of Crete Knossos Ave, GR-71409 Heraklion, Greece vagia@tem.uoc.gr</affiliation><affiliation>E-mail: vagia@tem.uoc.gr</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">A.</namePart><namePart type="family">Yavrian</namePart><affiliation>Institute of Mathematics, Armenian National Academy of Sciences Marshal Bagramian Ave. 24b, 375 019 Yerevan, Armenia ayavrian@hotmail.com</affiliation><affiliation>E-mail: ayavrian@hotmail.com</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="research-article"></genre><subject><topic>Papers</topic></subject><originInfo><publisher>Oxford University Press</publisher><dateIssued encoding="w3cdtf">2006-08</dateIssued><copyrightDate encoding="w3cdtf">2006</copyrightDate></originInfo><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract>We prove that certain universality properties of the partial sums force a power series to have Ostrowski-gaps. This has interesting consequences for some classes of universal functions. 2000 Mathematics Subject Classification 30B10.</abstract><relatedItem type="host"><titleInfo><title>Bulletin of the London Mathematical Society</title></titleInfo><genre type="journal">journal</genre><identifier type="ISSN">0024-6093</identifier><identifier type="eISSN">1469-2120</identifier><identifier type="PublisherID">blms</identifier><identifier type="PublisherID-hwp">blms</identifier><part><date>2006</date><detail type="volume"><caption>vol.</caption><number>38</number></detail><detail type="issue"><caption>no.</caption><number>4</number></detail><extent unit="pages"><start>597</start><end>606</end></extent></part></relatedItem><identifier type="istex">DFD36F44BD8F75B40870AA7E5EADD797EDD255B9</identifier><identifier type="DOI">10.1112/S0024609306018492</identifier><identifier type="ArticleID">38.4.597</identifier><accessCondition type="use and reproduction" contentType="copyright">© London Mathematical Society</accessCondition><recordInfo><recordContentSource>OUP</recordContentSource></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001655 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 001655 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Rhénanie
|area= UnivTrevesV1
|flux= Istex
|étape= Corpus
|type= RBID
|clé= ISTEX:DFD36F44BD8F75B40870AA7E5EADD797EDD255B9
|texte= Universal Overconvergence and Ostrowski-Gaps
}}
| This area was generated with Dilib version V0.6.31. |  |