Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614785 | Journal of Mathematical Analysis and Applications | 2016 | 13 Pages |
Abstract
It is of interest to know whether the Gibbs phenomenon occurs on a local field. A p-adic Heaviside function on the group of p -adic integers is defined as an analogy of real variable Heaviside function and it is also shown that there exists the Gibbs phenomenon with an undershoot of at least 1/(p+1)1/(p+1) as an approximate level. As a consequence of the theorem, we see that the Fourier partial sum for a Heaviside function does not converge at the point of discontinuity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kyung Soo Rim,