Author(s):
Abreu, Luís Daniel 
Date: 2006
Persistent ID: http://hdl.handle.net/10316/11331
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Paley-Wiener theorems; q-Hankel transform
Document details
Real Paley-Wiener theorems for the Koornwinder-Swarttouw q-Hankel transform
Description
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] Fundação Ciência e Tecnologia; Centro de Matemática da Universidade de Coimbra
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] Fundação Ciência e Tecnologia; Centro de Matemática da Universidade de Coimbra
Document Type
Preprint
Language English
Language English
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