Simple valuations on convex bodies

Mathematika

Volumn 43, Issue 1, 1996, Pages 32-39

  Schneider, Rolf ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344466360     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0025579300011578     Document Type: Article

References (12)

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3. D. A. Klain. A short proof of Hadwiger's characterization theorem. Mathematika, 42 (1995), 329-339.
4. P. McMullen. Valuations and Euler-type relations on certain classes of convex polytopes. Proc. London Math. Soc. (3), 35 (1977), 113-135.
5. P. McMuIlen. Continuous translation invariant valuations on the space of compact convex sets. Arch. Math., 34 (1980), 377-384.
6. P. McMullen. Valuations and dissections. In Handbook of Convex Geometry, eds. P. M. Gruber and J. M. Wills (Elsevier, Amsterdam, 1993), pp. 933-988.
7. P. McMullen and R. Schneider. Valuations on convex bodies. In Convexity and Its Applications, eds. P. M. Gruber and J. M. Wills (Birkhäuser, Basel, 1983), pp. 170-247.
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10. R. Schneider. Additive Transformationen konvexer Körper. Geom. Dedicata, 3 (1974), 221-228.
11. R. Schneider. Convex Bodies: the Brunn-Minkowski Theory. Encyclopedia Math. Appl., 44 (Cambridge University Press, Cambridge, 1993).
12. N. J. Vilenkin. Special Functions and the Theory of Group Representations. Transl. Math. Monographs, vol. 22 (Amer. Math. Soc., Providence, Rh. I., 1968).