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- W3189801102 abstract "We investigate analytic properties of the double Fourier sphere (DFS) method, which transforms a function defined on the two-dimensional sphere to a function defined on the two-dimensional torus. Then the resulting function can be written as a Fourier series yielding an approximation of the original function. We show that the DFS method preserves smoothness: it continuously maps spherical Holder spaces into the respective spaces on the torus, but it does not preserve spherical Sobolev spaces in the same manner. Furthermore, we prove sufficient conditions for the absolute convergence of the resulting series expansion on the sphere as well as results on the speed of convergence." @default.
- W3189801102 created "2021-08-16" @default.
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- W3189801102 date "2021-08-12" @default.
- W3189801102 modified "2023-10-01" @default.
- W3189801102 title "Approximation properties of the double Fourier sphere method." @default.
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