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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Weyl type formula for Fourier spectra and frames
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by Alex Iosevich and Mihail N. Kolountzakis PDF
Proc. Amer. Math. Soc. 134 (2006), 3267-3274 Request permission

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
  • MR Author ID: 356191
  • 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
  • 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
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 3267-3274
  • MSC (2000): Primary 42B05
  • DOI: https://doi.org/10.1090/S0002-9939-06-08447-4
  • MathSciNet review: 2231911