Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Landau's necessary density conditions for the Hankel transform
Publication Date:	2010
Authors:	- Luís Daniel Abreu - Afonso Bandeira
Abstract:	We will prove an analogue of Landau's necessary conditions [Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967)] for spaces of functions whose Hankel transform is supported in a measurable subset S of the positive semi-axis. As a special case, necessary density conditions for the existence of Fourier-Bessel frames are obtained. In the course of our proof we obtain estimates for some eigenvalues which arise in Tracy and Widom work [Level spacing distributions and the Bessel kernel. Comm. Math. Phys. 161 (1994), no. 2, 289-309].
Institution:	DMUC 10-21
Online version:	http://www.mat.uc.pt...prints/eng_2010.html
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