Artículo
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
Autor/es | Duren, Peter
Gallardo Gutiérrez, Eva Antonia Montes Rodríguez, Alfonso |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2007-06 |
Fecha de depósito | 2016-11-10 |
Publicado en |
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Resumen | An analogue of the Paley–Wiener theorem is developed for weighted
Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the ... An analogue of the Paley–Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the standard Bergman space of the unit disk can be identified with those of a convolution Volterra operator on the space L2 (R+, (1/t)dt). |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Identificador del proyecto | BFM2003-00034
FQM-260 PR2004-0584 |
Cita | Duren, P., Gallardo Gutiérrez, E.A. y Montes Rodríguez, A. (2007). A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Bulletin of the London Mathematical Society, 39 (3), 459-466. |
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