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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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On the dimension function of orthonormal wavelets
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by Manos Papadakis PDF
Proc. Amer. Math. Soc. 128 (2000), 2043-2049 Request permission

Abstract:

We announce the following result: Every orthonormal wavelet of $L^2(\mathbf {R})$ is associated with a multiresolution analysis such that for the subspace $V_0$ the integral translates of a countable at most family of functions is a tight frame.
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Additional Information
  • Manos Papadakis
  • Affiliation: Department of Informatics, University of Athens, Panepistimiopolis, GR-15784 Zografou, Greece
  • Address at time of publication: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
  • Email: mpapad@di.uoa.gr, mpapadak@math.uh.edu
  • Received by editor(s): June 15, 1998
  • Received by editor(s) in revised form: August 25, 1998
  • Published electronically: November 1, 1999
  • Communicated by: David R. Larson
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2043-2049
  • MSC (1991): Primary 41A15, 41A30, 42A38, 42C15, 46N99
  • DOI: https://doi.org/10.1090/S0002-9939-99-05256-9
  • MathSciNet review: 1654108