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Wavelets Based on Orthogonal Polynomials
Author(s):
Bernd
Fischer;
Jürgen
Prestin.
Journal:
Math. Comp.
66
(1997),
1593-1618.
MSC (1991):
Primary 42C05, 65D05
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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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![$[-1,1]$](/mcom/1997-66-220/S0025-5718-97-00876-4/gif-references/img601.gif) , Approximation Theory, Wavelets and Applications (Dordrecht) (S. P. Singh, ed.), Kluwer Academic Publ., 1995, pp. 497-512. MR 96c:42073
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Additional Information:
Bernd
Fischer
Affiliation:
Institut für Mathematik, Medizinische Universität zu Lübeck, D -- 23560 Lübeck, Germany
Email:
fischer@informatik.mu-luebeck.de
Jürgen
Prestin
Affiliation:
Fachbereich Mathematik, Universität Rostock, D -- 18051 Rostock, Germany
Email:
prestin@mathematik.uni-rostock.d400.de
DOI:
10.1090/S0025-5718-97-00876-4
PII:
S 0025-5718(97)00876-4
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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