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On Cartwright's theorem


Authors: Natalia Blank and Alexander Ulanovskii
Journal: Proc. Amer. Math. Soc. 144 (2016), 4221-4230
MSC (2010): Primary 30D15, 30D20
Published electronically: June 10, 2016
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Abstract: We present a characterization of sets for which Cartwright's theorem holds true. The connection between these sets and sampling sets for entire functions of exponential type is discussed.


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Natalia Blank
Affiliation: Department of Mathematics, Stavanger University, 4036 Stavanger, Norway
Email: natalia.blank@uis.no

Alexander Ulanovskii
Affiliation: Department of Mathematics, Stavanger University, 4036 Stavanger, Norway
Email: alexander.ulanovskii@uis.no

DOI: https://doi.org/10.1090/proc/13200
Keywords: Cartwright's theorem, Beurling's sampling theorem, sampling set
Received by editor(s): August 31, 2015
Published electronically: June 10, 2016
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2016 American Mathematical Society