Discrete Fourier analysis on a dodecahedron and a tetrahedron

DOI10.1090/S0025-5718-08-02156-XzbMath1204.41001arXiv0803.0508OpenAlexW3105678141MaRDI QIDQ3055128

Yuan Xu, Hui-yuan Li

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0508

zbMATH Keywords

Lagrange interpolationdiscrete Fourier seriestetrahedrontrigonometricdodecahedron

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (7)

Approximation on the Voronoi cells of the \(A_d\) lattice ⋮ Discrete Fourier analysis with lattices on planar domains ⋮ Interpolation with symmetric polynomials ⋮ C₇₀, C₈₀, C₉₀and carbon nanotubes by breaking of the icosahedral symmetry of C₆₀ ⋮ Four families of Weyl group orbit functions of B3 and C3 ⋮ Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables ⋮ Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials

Uses Software

• kepler98

Cites Work

• Bounding the Lebesgue function for Lagrange interpolatin in a simplex
• Commuting self-adjoint partial differential operators and a group theoretic problem
• A proof of the Kepler conjecture
• Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle
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