Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11165
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Abreu, Luís Daniel | - |
dc.contributor.author | Bouzeffour, Fethi | - |
dc.date.accessioned | 2009-08-26T13:19:53Z | - |
dc.date.available | 2009-08-26T13:19:53Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-22 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11165 | - |
dc.description.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. | en_US |
dc.description.sponsorship | CMUC/FCT; FCT post-doctoral grant SFRH/BPD/26078/2005, POCI 2010; FSE | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Askey-Wilson function | en_US |
dc.subject | Paley-Wiener theorem | en_US |
dc.subject | Reproducing Kernels | en_US |
dc.subject | Sampling Theorem | en_US |
dc.title | A Paley-Wiener theorem for the Askey-Wilson function transform | en_US |
dc.type | preprint | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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A Paley-Wiener theorem for the Askey-Wilson.pdf | 134.04 kB | Adobe PDF | View/Open |
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