@article{2fd371a333d44043a668984d83dd3627,
title = "Landau's necessary density conditions for the Hankel transform",
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.",
keywords = "Bessel functions, Beurling-Landau density, Fourier-Bessel frames, Hankel transform, Sampling and interpolation",
author = "Abreu, {Lu{\'i}s Daniel} and Bandeira, {Afonso S.}",
note = "Funding Information: * Corresponding author. E-mail addresses: daniel@mat.uc.pt (L.D. Abreu), ajsb@math.princeton.edu (A.S. Bandeira). 1 Currently at NuHAG, University of Vienna, in (FWF) project “Frames and Harmonic Analysis”. This research was partially supported by CMUC/FCT and FCT project “Frame Design” PTDC/MAT/114394/2009, POCI 2010 and FSE. 2 Part of this work was done while the second author was at Department of Mathematics of University of Coimbra supported by the research grant BII/FCTUC/C2008/CMUC. Partially supported by CMUC/FCT and FCT project “Frame Design” PTDC/MAT/114394/2009, POCI 2010 and FSE.",
year = "2012",
month = feb,
day = "15",
doi = "10.1016/j.jfa.2011.11.024",
language = "English (US)",
volume = "262",
pages = "1845--1866",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "4",
}