Some results related to the Logvinenko-Sereda theorem

Details Some results related to the Logvinenko-Sereda theorem Some results related to the Logvinenko-Sereda theorem

2000-12-19

arxiv.org/abs/math/0012186v1

Mathematics

Classical Analysis and ODEs

to appear in PAMS

Scientific paper

We prove several results related to the theorem of Logvinenko and Sereda on determining sets for functions with Fourier transforms supported in an interval. We obtain a polynomial instead of exponential bound in this theorem, and we extend it to the case of functions with Fourier transforms supported in the union of a bounded number of intervals. The same results hold in all dimensions.

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