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

DOI:
https://doi.org/10.1090/S0002-9939-06-08447-4

Published electronically:
June 6, 2006

MathSciNet review:
2231911

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-06-08447-4

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.