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A uniqueness theorem for finitely additive invariant measures on a compact homogeneous space. (English) Zbl 0484.28010

MSC:

28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
28A12 Contents, measures, outer measures, capacities
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[1] Hadwiger H.,Über eine Mittelwertformel für Richtungsfunktionale im Vektorraum und einige Anwendungen, J. reine angew. Math.,185 (1943), 241–252. · Zbl 0028.21902 · doi:10.1515/crll.1943.185.241
[2] Hadwiger H.,Vorlesungen über Inhalt, Oberfläche und Isoperimetrie, Springer, Berlin, Göttingen and Heidelberg, 1957. · Zbl 0078.35703
[3] Pontrjagin L. S.,Topologische Gruppen, Teil I, Teubner, Leipzig, 1957.
[4] Schneider R.,Curvature measures of convex bodies, Ann. Mat. pura appl.,116 (1978), 101–134. · Zbl 0389.52006 · doi:10.1007/BF02413869
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