For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets
Sullivan, Dennis
Bull. Amer. Math. Soc. (N.S.), Tome 4 (1981) no. 1, p. 121-123 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Publié le : 1981-01-14
Classification:  28D10 
@article{1183547859,
     author = {Sullivan, Dennis},
     title = {For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets},
     journal = {Bull. Amer. Math. Soc. (N.S.)},
     volume = {4},
     number = {1},
     year = {1981},
     pages = { 121-123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183547859}
}

Sullivan, Dennis. For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets. Bull. Amer. Math. Soc. (N.S.), Tome 4 (1981) no. 1, pp.  121-123. http://gdmltest.u-ga.fr/item/1183547859/