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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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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

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Título: Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions
Autor: Bonet Solves, José Antonio Domanski, Pawel
Entidad UPV: Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Fecha difusión:
Resumen:
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 ...[+]
Palabras clave: Spaces of real analytic functions , Composition operator , Eigenvalues and eigenvectors , Spectrum , Abel's functional equation , Iteration semigroup , Iteration root
Derechos de uso: Reserva de todos los derechos
Fuente:
Integral Equations and Operator Theory. (issn: 0378-620X )
DOI: 10.1007/s00020-014-2175-4
Editorial:
Springer Verlag (Germany)
Versión del editor: http://dx.doi.org/10.1007/s00020-014-2175-4
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/
info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/
info:eu-repo/grantAgreement/NCN//N N201 605340/
Agradecimientos:
(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 ...[+]
Tipo: Artículo

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