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January 1981For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets
Dennis Sullivan "For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets," Bulletin (New Series) of the American Mathematical Society, Bull. Amer. Math. Soc. (N.S.) 4(1), 121-123, (January 1981)