The Uncertainty Principle for relatively dense sets and lacunary spectra

Details The Uncertainty Principle for relatively dense sets and lacunary spectra The Uncertainty Principle for relatively dense sets and lacunary spectra

2002-12-09

arxiv.org/abs/math/0212129v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We obtain a new version of the Uncertainty Principle for functions with
Fourier transforms supported on a lacunary set of intervals. This is a
generalization of Zygmund's theorem on lacunary trigonometric series to the
real line in the spirit of the Logvinenko-Sereda theorem for relatively dense
sets.

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