Orthogonality and the hausdorff dimension of the maximal measure

Detalhes bibliográficos
Autor(a) principal: Lopes, Artur Oscar
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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spelling 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
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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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