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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Weyl type formula for Fourier spectra and frames


Authors: Alex Iosevich and Mihail N. Kolountzakis
Journal: Proc. Amer. Math. Soc. 134 (2006), 3267-3274
MSC (2000): Primary 42B05
Published electronically: June 6, 2006
MathSciNet review: 2231911
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Abstract: We prove qualitative and quantitative results concerning the asymptotic density in dilates of centered convex bodies of the frequency vectors of orthogonal exponential bases and frames associated to bounded domains in Euclidean space.


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Additional Information

Alex Iosevich
Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email: iosevich@math.missouri.edu

Mihail N. Kolountzakis
Affiliation: Department of Mathematics, University of Crete, Knossos Ave., GR-714 09, Iraklio, Greece
Email: kolount@member.ams.org

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08447-4
PII: S 0002-9939(06)08447-4
Received by editor(s): May 24, 2005
Published electronically: June 6, 2006
Additional Notes: The research of the first author was partially supported by NSF Grant DMS02-45369. The research of the second author was partially supported by European Commission IHP Network HARP (Harmonic Analysis and Related Problems), Contract Number: HPRN-CT-2001-00273 - HARP
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.