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arXiv:math/0510423 [math.CA]AbstractReferencesReviewsResources

Random Menshov spectra

Gady Kozma, Alexander Olevskii

Published 2005-10-20Version 1

We show that a spectrum of frequencies obtained by a random perturbation of the integers allows one to represent any measurable function on R by an almost everywhere converging sum of harmonics almost surely.

Comments: 6 pages. Very similar to journal version
Journal: Proc. Amer. Math. Soc. 131:6 (2003), 1901-1906
Categories: math.CA
Subjects: 42A63, 42A61, 42A55
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