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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]
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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