Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590670 | Journal of Functional Analysis | 2012 | 22 Pages |
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.
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