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arXiv · 1903.06698

On the Gibbs--Wilbraham Phenomenon for Sampling and Interpolatory Series

Keaton Hamm
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Abstract

The Gibbs--Wilbraham phenomenon for generalized sampling series, and related interpolation series arising from cardinal functions is investigated. We prove existence of the overshoot characteristic of the phenomenon for certain cardinal functions, and characterize existence of an overshoot for sampling series.

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Keaton Hamm. 2019-03-15. On the Gibbs--Wilbraham Phenomenon for Sampling and Interpolatory Series. https://arxiv.org/abs/1903.06698

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