Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	Uncertainty principles for the q-Hankel transform
Publication Date:	2005
Authors:	- Luís Daniel Abreu
Abstract:	We prove two propositions related to the support of functions and their q-Hankel transform. The first 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,\Omega] then \Omega T ≥ (q;q)²_\infty.
Institution:	DMUC 05-10
Online version:	http://www.mat.uc.pt...prints/eng_2005.html
Download:	Not available