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On the Gibbs–Wilbraham Phenomenon for Sampling and Interpolatory Series
Published online by Cambridge University Press: 12 July 2019
Abstract
We investigate the Gibbs–Wilbraham phenomenon for generalized sampling series, and related interpolation series arising from cardinal functions. We prove the existence of the overshoot characteristic of the phenomenon for certain cardinal functions, and characterize the existence of an overshoot for sampling series.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 4 , November 2019 , pp. 1163 - 1171
- Copyright
- Copyright © Edinburgh Mathematical Society 2019
Footnotes
To N. Sivakumar
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