Polynomial wavelets on the interval

T. Kilgore; J. Prestin

doi:10.1007/BF02432856

Polynomial wavelets on the interval

T. Kilgore^*, J. Prestin

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

Auburn University

37 Zitate (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.

Originalsprache	Englisch
Zeitschrift	Constructive Approximation
Jahrgang	12
Ausgabenummer	1
Seiten (von - bis)	95-110
Seitenumfang	16
ISSN	0176-4276
DOIs	https://doi.org/10.1007/BF02432856
Publikationsstatus	Veröffentlicht - 01.01.1996

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10.1007/BF02432856

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title = "Polynomial wavelets on the interval",

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.",

author = "T. Kilgore and J. Prestin",

year = "1996",

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doi = "10.1007/BF02432856",

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AU - Prestin, J.

PY - 1996/1/1

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0037857898

U2 - 10.1007/BF02432856

DO - 10.1007/BF02432856

M3 - Journal articles

AN - SCOPUS:0037857898

SN - 0176-4276

VL - 12

SP - 95

EP - 110

JO - Constructive Approximation

JF - Constructive Approximation

IS - 1

ER -

Polynomial wavelets on the interval

Abstract

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