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Bewegungsäquivariante, additive und stetige Transformationen konvexer Bereiche. (German) Zbl 0286.52003


MSC:

52A10 Convex sets in \(2\) dimensions (including convex curves)
40A25 Approximation to limiting values (summation of series, etc.)
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References:

[1] A. D. Aleksandrov, Zur Theorie der gemischten Volumina von konvexen K?rpern. I. (russisch). Mat. Sb. N.S.2, 947-972 (1937). · Zbl 0017.42603
[2] H.Busemann, Convex surfaces. New York 1958. · Zbl 0196.55101
[3] W. Fenchel undB. Jessen, Mengenfunktionen und konvexe K?rper. Danske Vid. Selsk. Mat.-Fys. Medd.16, 3 (1938). · Zbl 0018.42401
[4] H. Hadwiger, Translationsinvariante, additive und stetige Eibereichfunktionale. Publ. Math. Debrecen2, 81-94 (1951).
[5] R. Inzinger, ?ber eine lineare Transformation in den Mengen der konvexen und der st?tzbaren Bereiche einer Ebene. Monatsh. Math.53, 227-250 (1949). · Zbl 0037.25004 · doi:10.1007/BF01298862
[6] R. Inzinger, St?tzbare Bereiche, trigonometrische Polynome und Defizite h?herer Ordnung. Monatsh. Math.53, 302-323 (1949). · Zbl 0037.25101 · doi:10.1007/BF01302599
[7] W. J. Meyer, Characterization of the Steiner point. Pacific J. Math.35, 717-725 (1970). · Zbl 0188.27403
[8] R.Schneider, Equivariant endomorphisms of the space of convex bodies. Trans. Amer. Math. Soc. (im Druck). · Zbl 0287.52004
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