From Fourier to Gegenbauer: Dimension walks on spheres

Published 27 Mar 2013 in math.ST and stat.TH | (1303.6856v2)

Abstract: We show that the even- resp. odd-dimensional Schoenberg coefficients in Gegenbauer expansions of isotropic positive definite functions on the d-sphere can be expressed as linear combinations of Fourier resp. Legendre coefficients, and we give closed form expressions for the coefficients involved in these expansions.

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Jochen Fiedler

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