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Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions

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Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Domanski, Pawel es_ES
dc.date.accessioned 2016-10-05T17:37:29Z
dc.date.available 2016-10-05T17:37:29Z
dc.date.issued 2015-04
dc.identifier.issn 0378-620X
dc.identifier.uri http://hdl.handle.net/10251/71248
dc.description.abstract We obtain full description of eigenvalues and eigenvectors of composition operators Cϕ : A (R) → A (R) for a real analytic self map ϕ : R → R as well as an isomorphic description of corresponding eigenspaces. We completely characterize those ϕ for which Abel’s equation f ◦ ϕ = f + 1 has a real analytic solution on the real line. We find cases when the operator Cϕ has roots using a constructed embedding of ϕ into the so-called real analytic iteration semigroups. es_ES
dc.description.sponsorship (1) The research of the authors was partially supported by MEC and FEDER Project MTM2010-15200 and MTM2013-43540-P and the work of Bonet also by GV Project Prometeo II/2013/013. The research of Domanski was supported by National Center of Science, Poland, Grant No. NN201 605340. (2) The authors are very indebted to K. Pawalowski (Poznan) for providing us with references [26,27,47] and also explaining some topological arguments of [10]. The authors are also thankful to M. Langenbruch (Oldenburg) for providing a copy of [29]. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Integral Equations and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Spaces of real analytic functions es_ES
dc.subject Composition operator es_ES
dc.subject Eigenvalues and eigenvectors es_ES
dc.subject Spectrum es_ES
dc.subject Abel's functional equation es_ES
dc.subject Iteration semigroup es_ES
dc.subject Iteration root es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-014-2175-4
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NCN//N N201 605340/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Bonet Solves, JA.; Domanski, P. (2015). Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions. Integral Equations and Operator Theory. 81(4):455-482. https://doi.org/10.1007/s00020-014-2175-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00020-014-2175-4 es_ES
dc.description.upvformatpinicio 455 es_ES
dc.description.upvformatpfin 482 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 81 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 300624 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder National Science Centre, Polonia es_ES
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