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arXiv · 1111.6963

Landau's necessary density conditions for the Hankel transform

Luís Daniel Abreu·Afonso S. Bandeira
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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.

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BibTeXRIS

Luís Daniel Abreu, Afonso S. Bandeira. 2011-11-29. Landau's necessary density conditions for the Hankel transform. https://arxiv.org/abs/1111.6963

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