Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11165
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. | URI: | https://hdl.handle.net/10316/11165 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
A Paley-Wiener theorem for the Askey-Wilson.pdf | 134.04 kB | Adobe PDF | View/Open |
Page view(s)
235
checked on Sep 24, 2024
Download(s)
159
checked on Sep 24, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.