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ADCM
2000

On the detection of singularities of a periodic function

13 years 10 months ago
On the detection of singularities of a periodic function
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.
Hrushikesh Narhar Mhaskar, Jürgen Prestin
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2000
Where ADCM
Authors Hrushikesh Narhar Mhaskar, Jürgen Prestin
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