4 papers
Discrete Fourier Analysis and Chebyshev Polynomials with Group
Huiyuan Li, Jiachang Sun, Yuan Xu
The discrete Fourier analysis on the -- triangle is deduced from the corresponding results on the regular hexagon by considering functions…
Discrete Fourier analysis with lattices on planar domains
Huiyuan Li, Jiachang Sun, Yuan Xu
A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other de…
Cubature formula and interpolation on the cubic domain
Huiyuan Li, Jiachang Sun, Yuan Xu
Several cubature formulas on the cubic domains are derived using the discrete Fourier analysis associated with lattice tiling, as developed in \cite{LSX}. The main results consist…
Discrete Fourier analysis, Cubature and Interpolation on a Hexagon and a Triangle
Huiyuan Li, Jiachang Sun, Yuan Xu
Several problems of trigonometric approximation on a hexagon and a triangle are studied using the discrete Fourier transform and orthogonal polynomials of two variables. A discrete…