Studies on Fourier Series on Spheres

Samuel Y. K. Yee Air Force Geophysics Laboratory, Hanscom AFB. MA 01731

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Abstract

A unified derivation for three known expressions for the Fourier decomposition of a scalar function on spheres is presented. The expressions are put in a common framework for easy comparison and are contrasted in a table. One expression is shown to be superior.

Abstract

A unified derivation for three known expressions for the Fourier decomposition of a scalar function on spheres is presented. The expressions are put in a common framework for easy comparison and are contrasted in a table. One expression is shown to be superior.

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