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A Weyl type formula for Fourier spectra and frames
Author(s):
Alex
Iosevich;
Mihail
N.
Kolountzakis
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3267-3274.
MSC (2000):
Primary 42B05
Posted:
June 6, 2006
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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.
References:
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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:
10.1090/S0002-9939-06-08447-4
PII:
S 0002-9939(06)08447-4
Received by editor(s):
May 24, 2005
Posted:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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