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On the Gibbs–Wilbraham Phenomenon for Sampling and Interpolatory Series

Published online by Cambridge University Press:  12 July 2019

Keaton Hamm*
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ, 85721, USA (hamm@math.arizona.edu)

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2019 

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Footnotes

To N. Sivakumar

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