Orthogonality and the hausdorff dimension of the maximal measure
Autor(a) principal: | |
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Data de Publicação: | 1986 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/27485 |
Resumo: | In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one. |
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Lopes, Artur Oscar2011-01-26T05:59:12Z19860002-9939http://hdl.handle.net/10183/27485000054399In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one.application/pdfengProceedings of the American Mathematical Society. Providence, RI. Vol. 98, no. 1 (sept. 1986), p. 51-55.Ortogonalidade : Medida maxima : Dimensao de hausdorffOrthogonality and the hausdorff dimension of the maximal measureEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000054399.pdf000054399.pdfTexto completo (inglês)application/pdf120161http://www.lume.ufrgs.br/bitstream/10183/27485/1/000054399.pdf42c14216b2a72e5b6198a71d7f8e55c4MD51TEXT000054399.pdf.txt000054399.pdf.txtExtracted Texttext/plain8813http://www.lume.ufrgs.br/bitstream/10183/27485/2/000054399.pdf.txt7f5f44b4736cd60920cd3c7fe5c94c23MD52THUMBNAIL000054399.pdf.jpg000054399.pdf.jpgGenerated Thumbnailimage/jpeg1765http://www.lume.ufrgs.br/bitstream/10183/27485/3/000054399.pdf.jpg9ea04a45105f7fc8695c59cca9116f18MD5310183/274852021-06-26 04:40:23.133924oai:www.lume.ufrgs.br:10183/27485Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-06-26T07:40:23Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Orthogonality and the hausdorff dimension of the maximal measure |
title |
Orthogonality and the hausdorff dimension of the maximal measure |
spellingShingle |
Orthogonality and the hausdorff dimension of the maximal measure Lopes, Artur Oscar Ortogonalidade : Medida maxima : Dimensao de hausdorff |
title_short |
Orthogonality and the hausdorff dimension of the maximal measure |
title_full |
Orthogonality and the hausdorff dimension of the maximal measure |
title_fullStr |
Orthogonality and the hausdorff dimension of the maximal measure |
title_full_unstemmed |
Orthogonality and the hausdorff dimension of the maximal measure |
title_sort |
Orthogonality and the hausdorff dimension of the maximal measure |
author |
Lopes, Artur Oscar |
author_facet |
Lopes, Artur Oscar |
author_role |
author |
dc.contributor.author.fl_str_mv |
Lopes, Artur Oscar |
dc.subject.por.fl_str_mv |
Ortogonalidade : Medida maxima : Dimensao de hausdorff |
topic |
Ortogonalidade : Medida maxima : Dimensao de hausdorff |
description |
In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one. |
publishDate |
1986 |
dc.date.issued.fl_str_mv |
1986 |
dc.date.accessioned.fl_str_mv |
2011-01-26T05:59:12Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
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publishedVersion |
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http://hdl.handle.net/10183/27485 |
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0002-9939 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000054399 |
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0002-9939 000054399 |
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http://hdl.handle.net/10183/27485 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Proceedings of the American Mathematical Society. Providence, RI. Vol. 98, no. 1 (sept. 1986), p. 51-55. |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Repositório Institucional da UFRGS |
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