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https://hdl.handle.net/10316/11331
Title: | Real Paley-Wiener theorems for the Koornwinder-Swarttouw q-Hankel transform | Authors: | Abreu, Luís Daniel | Keywords: | Paley-Wiener theorems; q-Hankel transform | Issue Date: | 2006 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 06-44 (2006) | Abstract: | We derive two real Paley-Wiener theorems in the setting of quantum calculus. The first uses techniques due to Tuan and Zayed [21] in order to describe the image of the space L2 q(0,R) under Koornwinder and Swarttouw q-Hankel transform [14] and contains as a special case a description of the domain of the q-sampling theorem associated with the q-Hankel transform [1]. The second characterizes the image of compactly supported q-smooth functions under a rescaled version of the q-Hankel transform and is a q-analogue of a recent result due to Andersen [6] | URI: | https://hdl.handle.net/10316/11331 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Real Paley-Wiener theorems for the Koornwinder-Swarttouw.pdf | 123.74 kB | Adobe PDF | View/Open |
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