Random Menshov spectra

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the spectra λ of frequencies λ obtained by random perturbations of the integers allows one to represent any measurable function f on ℝ by an almost everywhere converging sum of harmonics: f = ∑cλeiλt.

Original languageEnglish
Pages (from-to)1901-1906
Number of pages6
JournalProceedings of the American Mathematical Society
Volume131
Issue number6
DOIs
StatePublished - Jun 2003

Keywords

  • Random spectra
  • Representation of functions by trigonometric series

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