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A functional characterization of certain mixed volumes. (English) Zbl 0337.52007


MSC:

52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
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References:

[1] Aleksandrov, A. D., On the theory of mixed volumes I, Mat. Sb., 2, 947-972 (1937) · Zbl 0017.42603
[2] Aleksandrov, A. D., On the theory of mixed volumes III, Mat. Sb., 3, 27-46 (1938) · Zbl 0018.42402
[3] T. Bonnesen and W. Fenchel,Theorie der konvexen Körper, Berlin, 1934. · JFM 60.0673.01
[4] Fenchel, W.; Jessen, B., Mengenfunktionen und konvexe Körper, Danske Vid. Selsk. Mat.-Fys. Medd., 16, 3-3 (1938) · JFM 64.0733.05
[5] H. Hadwiger,Vorlesungen über Inhalt, Oberfläche und Isoperimetrie, Berlin-Göttingen-Heidelberg, 1957. · Zbl 0078.35703
[6] P. Halmos,Measure Theory, Princeton, 1950. · Zbl 0040.16802
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