Title of article
A version of the Uncertainty Principle for functions with lacunary Fourier transforms ✩
Author/Authors
Oleg Kovrizhkin، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
28
From page
606
To page
633
Abstract
We prove estimates of the L2 norms on relatively dense subsets of the real line of functions with
Fourier transforms supported on lacunary sets of intervals. This result is a real line analogue of
Zygmund’s theorem on lacunary trigonometric series. The results also hold in higher dimensions.
2003 Elsevier Inc. All rights reserved
Keywords
Relatively dense sets , Uncertainty principle , Logvinenko–Sereda theorem , Lacunary series
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930953
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