Author(s):
Abreu, Luís Daniel 
Date: 2005
Persistent ID: http://hdl.handle.net/10316/11390
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Uncertainty principles; q-Bessel functions; q-Hankel transform
Document details
Uncertainty principles for the q-Hankel transform
Description
We prove two propositions related to the support of functions and their q-Hankel transform. The rst says that if a function f and its q-Hankel transform both vanish at the points q¡n, n = 1; 2; ::: then f must vanish identically. The second asserts that if f is supported at [0; T] and its q-Hankel transform at [0; ] then T ¸ (q; q)2 . Centro de Matemática da Universidade de Coimbra
We prove two propositions related to the support of functions and their q-Hankel transform. The rst says that if a function f and its q-Hankel transform both vanish at the points q¡n, n = 1; 2; ::: then f must vanish identically. The second asserts that if f is supported at [0; T] and its q-Hankel transform at [0; ] then T ¸ (q; q)2 . Centro de Matemática da Universidade de Coimbra
Document Type
Preprint
Language English
Language English
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