Bochner's Theorem on S2

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1 total messages Started by Brian Sutin Thu, 01 Oct 1992 01:57

#130

Author: Brian Sutin
Date: Thu, 01 Oct 1992 01:57

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Bochner's Theorem states the optimal condition on the fourier coefficients
for a function to be non-negative (Rudin, Real Analysis, p290).  Has anyone
ever heard of a similar result for orthogonal functions other than e^iwt?
I actually need something for the spherical harmonics on the surface of the
sphere, which are e^imt times Legendre functions, P(l,m).

Brian Sutin				sutin@helios.ucsc.edu
Lick Observatory, UCSC			Santa Cruz, CA 95064
    Fred:   "May I rescue you?"
    Ginger: "No, thank you.  I prefer being in distress."

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