Landau's necessary density conditions for the Hankel transform

Details Landau's necessary density conditions for the Hankel transform Landau's necessary density conditions for the Hankel transform

2011-11-29

arxiv.org/abs/1111.6963v1

J. Funct. Anal. (2012), doi:10.1016/j.jfa.2011.11.024

Mathematics

Functional Analysis

To appear on J. Funct. Analysis

Scientific paper

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.

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