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


On the dimension function
of orthonormal wavelets

Author: Manos Papadakis
Journal: Proc. Amer. Math. Soc. 128 (2000), 2043-2049
MSC (1991): Primary 41A15, 41A30, 42A38, 42C15, 46N99
Published electronically: November 1, 1999
MathSciNet review: 1654108
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Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

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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

PII: S 0002-9939(99)05256-9
Keywords: Multiresolution analysis, wavelets, dimension function, frames.
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
Article copyright: © Copyright 2000 American Mathematical Society

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