Discrete Translates in Function Spaces

Alexander Olevskii, Alexander Ulanovskii

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

Abstract

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
PublisherBirkhauser
Pages199-208
Number of pages10
DOIs
StatePublished - 2021

Publication series

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

Keywords

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

Fingerprint

Dive into the research topics of 'Discrete Translates in Function Spaces'. Together they form a unique fingerprint.

Cite this