Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On wavelets interpolated from a pair of wavelet sets
HTML articles powered by AMS MathViewer

by Ziemowit Rzeszotnik and Darrin Speegle PDF
Proc. Amer. Math. Soc. 130 (2002), 2921-2930 Request permission

Abstract:

We show that any wavelet, with the support of its Fourier transform small enough, can be interpolated from a pair of wavelet sets. In particular, the support of the Fourier transform of such wavelets must contain a wavelet set, answering a special case of an open problem of Larson. The interpolation procedure, which was introduced by X. Dai and D. Larson, allows us also to prove the extension property.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42C40
  • Retrieve articles in all journals with MSC (2000): 42C40
Additional Information
  • Ziemowit Rzeszotnik
  • Affiliation: Institute of Mathematics, University of Wroclaw, pl Grunwaldzki 2/4, 50-384 Wroclaw, Poland
  • Email: zioma@math.uni.wroc.pl
  • Darrin Speegle
  • Affiliation: Department of Mathematics & Computer Science, Saint Louis University, St. Louis, Missouri 63103
  • Email: speegled@slu.edu
  • Received by editor(s): September 19, 2000
  • Received by editor(s) in revised form: March 22, 2001
  • Published electronically: May 8, 2002
  • Communicated by: David R. Larson
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2921-2930
  • MSC (2000): Primary 42C40
  • DOI: https://doi.org/10.1090/S0002-9939-02-06416-X
  • MathSciNet review: 1908915