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Open Access Green as soon as Postprint is submitted to ZB.
On the detection of singularities of a periodic function.
Adv. Comput. Math. 12, 95-131 (2000)
We discuss the problem of detecting the location of discontinuities of derivatives of a periodic function, given either finitely many Fourier coefficients of the function, or the samples of the function at uniform or scattered data points. Using the general theory, we develop a class of trigonometric polynomial frames suitable for this purpose. Our methods also help us to analyze the capabilities of periodic spline wavelets, trigonometric polynomial wavelets, and some of the classical summability methods in the theory of Fourier series.
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Publication type
Article: Journal article
Document type
Scientific Article
ISSN (print) / ISBN
1019-7168
e-ISSN
1572-9044
Quellenangaben
Volume: 12,
Pages: 95-131
Publisher
Springer
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)