Please use this identifier to cite or link to this item:
Title: A Paley-Wiener theorem for the Askey-Wilson function transform
Authors: Abreu, Luís Daniel 
Bouzeffour, Fethi 
Keywords: Askey-Wilson function; Paley-Wiener theorem; Reproducing Kernels; Sampling Theorem
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-22 (2009)
Abstract: We 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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

Files in This Item:
File Description SizeFormat
A Paley-Wiener theorem for the Askey-Wilson.pdf134.04 kBAdobe PDFView/Open
Show full item record

Page view(s)

checked on Aug 11, 2022


checked on Aug 11, 2022

Google ScholarTM


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