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Wavelets Based on Orthogonal Polynomials

Authors: Bernd Fischer and Jürgen Prestin
Journal: Math. Comp. 66 (1997), 1593-1618
MSC (1991): Primary 42C05, 65D05
MathSciNet review: 1423073
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Abstract | References | Similar Articles | Additional Information

Abstract: We present a unified approach for the construction of polynomial wavelets. Our main tool is orthogonal polynomials. With the help of their properties we devise schemes for the construction of time localized polynomial bases on bounded and unbounded subsets of the real line. Several examples illustrate the new approach.

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Additional Information

Bernd Fischer
Affiliation: Institut für Mathematik, Medizinische Universität zu Lübeck, D – 23560 Lübeck, Germany

Jürgen Prestin
Affiliation: Fachbereich Mathematik, Universität Rostock, D – 18051 Rostock, Germany

Keywords: Orthogonal polynomials, polynomial wavelets, multiresolution analysis, kernel polynomials
Received by editor(s): January 24, 1996
Received by editor(s) in revised form: July 8, 1996
Article copyright: © Copyright 1997 American Mathematical Society