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dc.contributor.authorAbreu, Luís Daniel-
dc.identifier.citationPré-Publicações DMUC. 05-27 (2005)en_US
dc.description.abstractWe study mapping properties of operators with kernels defined via an abstract formulation of quantum (q-) Fourier type systems. We prove Ismail´s conjecture regarding the existence of a reproducing kernel structure behind these kernels. The results are illustrated with Fourier kernels with ultraspherical and Jacobi weights, their continuous q-extensions and generalizations. As a byproduct of this approach, a new class of sampling theorems is obtained, as well as Neumann type expansions in Bessel and q-Bessel functions.en_US
dc.description.sponsorshipFundação Calouste Gulbenkian; Centro de Matemática da Universidade de Coimbraen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.subjectReproducing kernelen_US
dc.subjectq-Fourier seriesen_US
dc.subjectOrthogonal polynomialsen_US
dc.subjectBasic hypergeometric functionsen_US
dc.subjectSampling theoremsen_US
dc.titleThe reproducing kernel structure associated to Fourier type systems and their quantum analoguesen_US
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Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais
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