Discrete Translates in Function Spaces

Alexander Olevskii, Alexander Ulanovskii*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This paper is a more complete version of the lecture presented by the first author at the Fourier Analysis and Applications Conference celebrating John Benedetto’s 80th Birthday in the University of Maryland, September 19–21, 2019. We discuss different aspects of the completeness property of translates in Lp(ℝ) and in more general Banach function spaces. In particular, we describe a wide class of Banach spaces that can be generated by uniformly discrete translates of a single function.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
Number of pages10
StatePublished - 2021

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017


  • Beurling–Malliavin density
  • Completeness spectrum
  • Discrete translates
  • Generator


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