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10

ADCM
2000

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On the detection of singularities of a periodic function

13 years 4 months ago

On the detection of singularities of a periodic function

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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

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ADCM 2000 | Trigonometric Polynomial | Trigonometric Polynomial Frames | Trigonometric Polynomial Wavelets |

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Added	17 Dec 2010
Updated	17 Dec 2010
Type	Journal
Year	2000
Where	ADCM
Authors	Hrushikesh Narhar Mhaskar, Jürgen Prestin

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