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A note about the spectrum of composition operators induced by a rotation

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A note about the spectrum of composition operators induced by a rotation

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Bonet Solves, JA. (2020). A note about the spectrum of composition operators induced by a rotation. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(2):1-6. https://doi.org/10.1007/s13398-020-00788-5

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Título: A note about the spectrum of composition operators induced by a rotation
Autor: Bonet Solves, José Antonio
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] A characterization of those points of the unit circle which belong to the spectrum of a composition operator C phi, defined by a rotation phi (z)=rz with |r|=1, on the space H0(D) of all analytic functions which vanish ...[+]
Palabras clave: Composition operator , Space of analytic functions , Rotation , Diophantine number
Derechos de uso: Reserva de todos los derechos
Fuente:
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. (issn: 1578-7303 )
DOI: 10.1007/s13398-020-00788-5
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s13398-020-00788-5
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/
Agradecimientos:
The research of this paper was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102.
Tipo: Artículo

References

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Arendt, W., Celariès, B., Chalendar, I.: In Koenigs’ footsteps: diagonalization of composition operators. J. Funct. Anal. 278, 108313 (2020)

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