Landau's necessary density conditions for the Hankel transform

Luís Daniel Abreu, Afonso S. Bandeira

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)1845-1866
Number of pages22
JournalJournal of Functional Analysis
Volume262
Issue number4
DOIs
StatePublished - Feb 15 2012

Keywords

  • Bessel functions
  • Beurling-Landau density
  • Fourier-Bessel frames
  • Hankel transform
  • Sampling and interpolation

ASJC Scopus subject areas

  • Analysis

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