Some results related to the Logvinenko-Sereda theorem

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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.
to appear in PAMS

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Classical Analysis and ODEs, Analysis of PDEs, 42

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http://salesiana.dossiersoluciones.com/handle/123456789/60610

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012186
 http://arxiv.org/abs/math/0012186

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arXiv