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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 möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
ISSN (print) / ISBN 1069-5869
Zeitschrift Journal of Fourier Analysis and Applications, The
Quellenangaben Band: 8, Heft: , Seiten: 85-108 Artikelnummer: , Supplement: ,
Verlag Birkhäuser
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)