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A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces

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dc.contributor.authorDuren, Peter
dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorMontes Rodríguez, Alfonso
dc.date.accessioned2023-06-20T10:34:28Z
dc.date.available2023-06-20T10:34:28Z
dc.date.issued2007
dc.description.abstractAn 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).en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipPlan Nacional I+D
dc.description.sponsorshipJunta de Andalucía
dc.description.sponsorshipSecretaría de Estado de Educación y Universidades
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21070
dc.identifier.doi10.1112/blms/bdm026
dc.identifier.issn1469-2120
dc.identifier.officialurlhttps//doi.org/10.1112/blms/bdm026
dc.identifier.relatedurlhttp://blms.oxfordjournals.org/content/39/3/459.full.pdf+html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50601
dc.issue.number3
dc.journal.titleBulletin of the London Mathematical Society
dc.language.isoeng
dc.page.final466
dc.page.initial459
dc.publisherLondon Mathematical Society
dc.relation.projectIDBFM2003-00034
dc.relation.projectIDFQM-260
dc.relation.projectIDRef. PR2004- 0584
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordMSC 2010
dc.subject.keywordHilbert spaces of continuous
dc.subject.keywordDifferentiable or analytic functions
dc.subject.keywordInvariant subspaces of linear operators
dc.subject.keyword30H05
dc.subject.keywordBounded analytic functions
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleA Paley–Wiener theorem for Bergman spaces with application to invariant subspacesen
dc.typejournal article
dc.volume.number39
dspace.entity.typePublication
relation.isAuthorOfPublicationf56f1f11-4b62-4a87-80df-8dc195da1201
relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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