Random Menshov spectra

Gady Kozma; Alexander Olevskiǐ

doi:10.1090/s0002-9939-03-06879-5

Random Menshov spectra

Gady Kozma^*, Alexander Olevskiǐ

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 = ∑c_λe^iλt.

Original language	English
Pages (from-to)	1901-1906
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	6
DOIs	https://doi.org/10.1090/s0002-9939-03-06879-5
State	Published - Jun 2003

Keywords

Random spectra
Representation of functions by trigonometric series

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title = "Random Menshov spectra",

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.",

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Random Menshov spectra

Abstract

Keywords

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