Discrete Fourier analysis on a dodecahedron and a tetrahedron
نویسندگان
چکیده
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 (logn).
منابع مشابه
R . Wallach Symmetry , Representations , and Invariants Graduate Texts in Mathematics 255 Springer
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ورودعنوان ژورنال:
- Math. Comput.
دوره 78 شماره
صفحات -
تاریخ انتشار 2009