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Bittner, K.

Linear approximation and reproduction of polynomials by wilson bases.

J. Fourier Anal. Appl. 8, 85-108 (2002)
Open Access Green as soon as Postprint is submitted to ZB.
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
ISSN (print) / ISBN 1069-5869
Journal Journal of Fourier Analysis and Applications, The
Quellenangaben Volume: 8, Issue: , Pages: 85-108 Article Number: , Supplement: ,
Publisher Springer
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)