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Open Access Green as soon as Postprint is submitted to ZB.
Linear approximation and reproduction of polynomials by wilson bases.
J. Fourier Anal. Appl. 8, 85-108 (2002)
Wilson bases are constituted by trigonometric functions multiplied by translates of a window function with good time frequency localization. In this article we investigate the approximation of functions from Sobolev spaces by partial sums of the Wilson basis expansion. In particular, we show that the approximation can be improved if polynomials are reproduced. We give examples of Wilson bases, which reproduce linear functions with the lowest-frequency term only.
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Publication type
Article: Journal article
Document type
Scientific Article
Language
english
Publication Year
2002
HGF-reported in Year
0
ISSN (print) / ISBN
1069-5869
Quellenangaben
Volume: 8,
Pages: 85-108
Publisher
Birkhäuser
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)
PSP Element(s)
FE 73811
Erfassungsdatum
2001-12-31