Large sets with limited tube occupancy

Research output: Contribution to journalArticlepeer-review

Abstract

We study subsets E of euclidean space with the property that for every tube, the amount of mass of E contained in that tube is small, and address via the probabilistic method the question of how large such sets may be. We also study discrete analogues of this question, and relate it to problems in harmonic analysis concerning the extension operator for the Fourier transform.

Original languageEnglish
Pages (from-to)529-543
Number of pages15
JournalJournal of the London Mathematical Society
Volume79
Issue number2
DOIs
Publication statusPublished - Apr 2009

Keywords

  • HEILBRONNS TRIANGLE PROBLEM
  • LOCALIZATION
  • ALGORITHM

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