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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The s-elementary wavelets are path-connected


Author: D. M. Speegle
Journal: Proc. Amer. Math. Soc. 127 (1999), 223-233
MSC (1991): Primary 46C05; Secondary 28D05, 42C15
MathSciNet review: 1468204
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Abstract: A construction of wavelet sets containing certain subsets of $\mathbb{R}$ is given. The construction is then modified to yield a continuous dependence on the underlying subset, which is used to prove the path-connectedness of the s-elementary wavelets. A generalization to $\mathbb R^n$ is also considered.


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Additional Information

D. M. Speegle
Email: speegle@math.tamu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04555-4
PII: S 0002-9939(99)04555-4
Received by editor(s): December 11, 1995
Received by editor(s) in revised form: May 13, 1997
Additional Notes: The author was supported in part by the NSF through the Workshop in Linear Analysis and Probability.
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1999 American Mathematical Society