Landau's necessary density conditions for the Hankel transform
Functional Analysis
2011-12-20 v1 Classical Analysis and ODEs
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1111.6963,
title = {Landau's necessary density conditions for the Hankel transform},
author = {Luís Daniel Abreu and Afonso S. Bandeira},
journal= {arXiv preprint arXiv:1111.6963},
year = {2011}
}
Comments
To appear on J. Funct. Analysis