Landau's necessary density conditions for the Hankel transform

Luís Daniel Abreu, Afonso Bandeira

Research output: Contribution to journalArticle

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

Fingerprint

Hankel transform
Necessary
Friedrich Wilhelm Bessel
Entire Function
Interpolate
Analogue
Necessary Conditions
Subset

Keywords

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

ASJC Scopus subject areas

  • Analysis

Cite this

Landau's necessary density conditions for the Hankel transform. / Abreu, Luís Daniel; Bandeira, Afonso.

In: Journal of Functional Analysis, Vol. 262, No. 4, 15.02.2012, p. 1845-1866.

Research output: Contribution to journalArticle

Abreu, Luís Daniel ; Bandeira, Afonso. / Landau's necessary density conditions for the Hankel transform. In: Journal of Functional Analysis. 2012 ; Vol. 262, No. 4. pp. 1845-1866.
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