Polynomial wavelets on the interval

T. Kilgore; J. Prestin

doi:10.1007/BF02432856

Polynomial wavelets on the interval

T. Kilgore^*, J. Prestin

^*Corresponding author for this work

Institute of Mathematics

Auburn University

36 Citations (Scopus)

Abstract

We investigate a polynomial wavelet decomposition of the L²(-1, 1)-space with Chebyshev weight, where the wavelets fulfill certain interpolatory conditions. For this approach we obtain the two-scale relations and decomposition formulas. Dual functions and Riesz-stability are discussed.

Original language	English
Journal	Constructive Approximation
Volume	12
Issue number	1
Pages (from-to)	95-110
Number of pages	16
ISSN	0176-4276
DOIs	https://doi.org/10.1007/BF02432856
Publication status	Published - 01.01.1996

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AB - We investigate a polynomial wavelet decomposition of the L2(-1, 1)-space with Chebyshev weight, where the wavelets fulfill certain interpolatory conditions. For this approach we obtain the two-scale relations and decomposition formulas. Dual functions and Riesz-stability are discussed.

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DO - 10.1007/BF02432856

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Polynomial wavelets on the interval

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