Discrete Fourier analysis on a dodecahedron and a tetrahedron
Numerical Analysis
2015-05-13 v1 Classical Analysis and ODEs
Abstract
A discrete Fourier analysis on the dodecahedron is studied, from which results on a tetrahedron is deduced by invariance. The results include Fourier analysis in trigonometric functions, interpolation and cubature formulas on these domains. In particular, a trigonometric Lagrange interpolation on the tetrahedron is shown to satisfy an explicit compact formula and the Lebesgue constant of the interpolation is shown to be in the order of .
Keywords
Cite
@article{arxiv.0803.0508,
title = {Discrete Fourier analysis on a dodecahedron and a tetrahedron},
author = {Huiyuan Li and Yuan Xu},
journal= {arXiv preprint arXiv:0803.0508},
year = {2015}
}
Comments
31 pages, multiple figures