Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/11165
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dc.contributor.authorAbreu, Luís Daniel-
dc.contributor.authorBouzeffour, Fethi-
dc.date.accessioned2009-08-26T13:19:53Z-
dc.date.available2009-08-26T13:19:53Z-
dc.date.issued2009-
dc.identifier.citationPré-Publicações DMUC. 09-22 (2009)en_US
dc.identifier.urihttps://hdl.handle.net/10316/11165-
dc.description.abstractWe define an analogue of the Paley-Wiener space in the context of the Askey-Wilson function transform, compute explicitly its reproducing kernel and prove that the growth of functions in this space of entire functions is of order two and type ln q−1, providing a Paley-Wiener Theorem for the Askey-Wilson transform. Up to a change of scale, this growth is related to the refined concepts of exponential order and growth proposed by J. P. Ramis. The Paley-Wiener theorem is proved by combining a sampling theorem with a result on interpolation of entire functions due to M. E. H. Ismail and D. Stanton.en_US
dc.description.sponsorshipCMUC/FCT; FCT post-doctoral grant SFRH/BPD/26078/2005, POCI 2010; FSEen_US
dc.language.isoengen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.rightsopenAccesseng
dc.subjectAskey-Wilson functionen_US
dc.subjectPaley-Wiener theoremen_US
dc.subjectReproducing Kernelsen_US
dc.subjectSampling Theoremen_US
dc.titleA Paley-Wiener theorem for the Askey-Wilson function transformen_US
dc.typepreprinten_US
item.fulltextCom Texto completo-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_816b-
item.openairetypepreprint-
item.grantfulltextopen-
item.cerifentitytypePublications-
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