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Exponential frames on unbounded sets

Authors: Shahaf Nitzan, Alexander Olevskii and Alexander Ulanovskii
Journal: Proc. Amer. Math. Soc. 144 (2016), 109-118
MSC (2010): Primary 42A38, 42C15, 94A12
Published electronically: September 4, 2015
MathSciNet review: 3415581
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Abstract: For every set $ S$ of finite measure in $ \mathbb{R}$ we construct a discrete set of real frequencies $ \Lambda $ such that the exponential system $ \{\exp (i\lambda t),\lambda \in \Lambda \}$ is a frame in $ L^2(S)$.

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Additional Information

Shahaf Nitzan
Affiliation: School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA, 30332-0160, USA

Alexander Olevskii
Affiliation: School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel

Alexander Ulanovskii
Affiliation: Department of Mathematics, Stavanger University, 4036 Stavanger, Norway

Received by editor(s): November 10, 2014
Published electronically: September 4, 2015
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2015 American Mathematical Society

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