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Title: Landau's necessary density conditions for the Hankel transform
Authors: Abreu, Luís Daniel 
Bandeira, Afonso 
Keywords: Sampling density; Bessel functions; Frames
Issue Date: 2010
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 10-21 (2010)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 10-21
Place of publication or event: Coimbra
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.]
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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