Fourier series and approximation on hexagonal and triangular domains
Classical Analysis and ODEs
2008-02-05 v1
Abstract
Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Ces\`aro summability of Fourier series, degree of approximation and best approximation by trigonometric functions, both direct and inverse theorems. One of the objective of this study is to demonstrate that Fourier series on spectral sets enjoy a rich structure that allow an extensive theory for Fourier expansions and approximation.
Cite
@article{arxiv.0802.0316,
title = {Fourier series and approximation on hexagonal and triangular domains},
author = {Yuan Xu},
journal= {arXiv preprint arXiv:0802.0316},
year = {2008}
}
Comments
19 pages, 2 figures