Please use this identifier to cite or link to this item:
Title: The reproducing kernel structure associated to Fourier type systems and their quantum analogues
Authors: Abreu, Luís Daniel 
Keywords: Reproducing kernel; q-Fourier series; Orthogonal polynomials; Basic hypergeometric functions; Sampling theorems
Issue Date: 2005
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 05-27 (2005)
Abstract: We 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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

Files in This Item:
File Description SizeFormat
The reproducing kernel structure associated to Fourier.pdf177.74 kBAdobe PDFView/Open
Show full item record

Page view(s) 50

checked on Mar 27, 2023


checked on Mar 27, 2023

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.