Title of article
Landau’s necessary density conditions for the Hankel transform
Author/Authors
Lu?s Daniel Abreu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
22
From page
1845
To page
1866
Abstract
We will prove an analogue of Landau’s 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.
© 2011 Published by Elsevier Inc
Keywords
Beurling–Landau density , Hankel transform , Bessel functions , Fourier–Besselframes , Sampling and interpolation
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840663
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