Article ID Journal Published Year Pages File Type
4590670 Journal of Functional Analysis 2012 22 Pages PDF
Abstract

We will prove an analogue of Landauʼs necessary conditions [H.J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967) 37–52] 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory