A q-sampling theorem related to the q-Hankel transform

• Author(s): Abreu, L. D.
• Date: 2003
• Persistent ID: http://hdl.handle.net/10316/11426
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Sampling theorem; Reproducing kernel; q-Bessel functions; q-Hankel transform
• Document Type: Preprint
• Language: English

Description

A q-version of the sampling theorem is derived using the q-Hankel transform introduced by Koornwinder and Swarttouw. The sampling points are the zeros of the third Jackson q-Bessel function Fundação para a Ciência e Tecnologia; Centro de Matemática da Universidade de Coimbra