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For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets

Author(s): Dennis Sullivan
Journal: Bull. Amer. Math. Soc. 4 (1981), 121-123.
MSC (1980): Primary 28D10
MathSciNet review: 590825
Retrieve article in: PDF

References:

[B] S. Banach, Sur le problème de la mesure, S. Banach Oeuvres, vol I, Warszawa, 1967, pp. 318-322.

[K] D. A. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Functional Anal. Appl. 1 (1967), 63-65. MR 209390

[R] J. Rosenblatt, Uniqueness of invariant means for measure preserving transformations, Trans. Amer. Math. Soc. (to appear). MR 610970


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