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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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Unitary operators preserving wavelets
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by Ziemowit Rzeszotnik and Xiaofei Zhang PDF
Proc. Amer. Math. Soc. 132 (2004), 1463-1471 Request permission

Abstract:

We characterize a special class of unitary operators that preserve orthonormal wavelets. In the process we also prove that symmetric wavelet sets cover the real line.
References
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Additional Information
  • Ziemowit Rzeszotnik
  • Affiliation: Institute of Mathematics, University of Wroclaw, Wroclaw, Poland; Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
  • Email: zioma@math.utexas.edu
  • Xiaofei Zhang
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • Received by editor(s): September 30, 2002
  • Received by editor(s) in revised form: January 12, 2003
  • Published electronically: November 26, 2003
  • Communicated by: David R. Larson
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1463-1471
  • MSC (2000): Primary 42C15
  • DOI: https://doi.org/10.1090/S0002-9939-03-07255-1
  • MathSciNet review: 2053354