Uncertainty principles for the q-Hankel transform

• Autor(es): Abreu, Luís Daniel
• Data: 2005
• Identificador Persistente: http://hdl.handle.net/10316/11390
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Uncertainty principles; q-Bessel functions; q-Hankel transform
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

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