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replaced http://mathoverflow.net/ with https://mathoverflow.net/

edited Apr 13, 2017 at 12:57

For the second time today (see Bodies of constant width?), I give the answer: see "Geometric Applications of Fourier Series and Spherical Harmonics" by Helmut Groemer. That book deals exactly with your question, and the answer is yes.

answered Jan 26, 2012 at 22:09

Yoav Kallus