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Duren, Peter and Gallardo Gutiérrez, Eva A. and Montes Rodríguez, Alfonso
(2007)
*A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces.*
Bulletin of the London Mathematical Society, 39
(3).
pp. 459-466.
ISSN 1469-2120

PDF
Restringido a Repository staff only 164kB |

Official URL: http://blms.oxfordjournals.org/content/39/3/459.full.pdf+html

## Abstract

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 L 2 (ℝ + ,(1/t)dt).

Item Type: | Article |
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Uncontrolled Keywords: | MSC 2010 30H05 Bounded analytic functions; Hilbert spaces of continuous, differentiable or analytic functions; Invariant subspaces of linear operators |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 21070 |

Deposited On: | 25 Apr 2013 11:29 |

Last Modified: | 05 Sep 2018 16:36 |

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