Some results related to the Logvinenko-Sereda theorem
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- by Oleg Kovrijkine PDF
- Proc. Amer. Math. Soc. 129 (2001), 3037-3047 Request permission
Abstract:
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.References
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Additional Information
- Oleg Kovrijkine
- Affiliation: Department of Mathematics 253-37, California Institute of Technology, Pasadena, California 91125
- Address at time of publication: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
- Email: olegk@its.caltech.edu, olegk@ias.edu
- Received by editor(s): September 24, 1999
- Received by editor(s) in revised form: March 3, 2000
- Published electronically: April 2, 2001
- Communicated by: Albert Baernstein II
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3037-3047
- MSC (2000): Primary 42A99, 42B99
- DOI: https://doi.org/10.1090/S0002-9939-01-05926-3
- MathSciNet review: 1840110