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.References
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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