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math.CA2019
On the Gibbs--Wilbraham Phenomenon for Sampling and Interpolatory Series
Keaton Hamm
The Gibbs--Wilbraham phenomenon for generalized sampling series, and related interpolation series arising from cardinal functions is investigated. We prove existence of the oversho…
math.CA2018
An Operator theoretic approach to the convergence of rearranged Fourier series
Keaton Hamm, Ben Hayes, Armenak Petrosyan
This article studies the rearrangement problem for Fourier series introduced by P.L. Ulyanov, who conjectured that every continuous function on the torus admits a rearrangement of…