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Centrally symmetric convex bodies and distributions II

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Abstract

In continuation of a previous work we study the generating distributions of centrally symmetric convex bodies and obtain some more geometric formulas and new characterizations of zonoids and generalized zonoids.

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References

  1. T. Bonnesen and W. Fenchel,Theorie der konvexen Körper, Springer-Verlag, Berlin, 1934.

    MATH  Google Scholar 

  2. H. Busemann, G. Ewald, and G. C. Shephard,Convex bodies and convexity on Grassmann cones, I–IV, Math. Annalen151 (1963), 1–41.

    Article  MATH  MathSciNet  Google Scholar 

  3. P. R. Goodey,Centrally symmetric convex sets and mixed volumes, Mathematika24 (1977), 193–198.

    Article  MathSciNet  Google Scholar 

  4. N. F. Lindquist,Approximation of convex bodies by sums of line segments, Portugal. Math.34 (1975), 233–240.

    MathSciNet  Google Scholar 

  5. N. F. Lindquist,Support functions of central convex bodies, Portugal. Math.34 (1975), 241–252.

    MATH  MathSciNet  Google Scholar 

  6. G. Matheron,Random Sets and Integral Geometry, John Wiley and Sons, Inc., New York-London-Sidney-Toronto, 1975.

    MATH  Google Scholar 

  7. R. Schneider,Additive Transformationen konvexer Körper, Geometriae Dedicata3 (1974), 221–228.

    Article  MATH  MathSciNet  Google Scholar 

  8. L. Schwartz,Théorie des Distributions, Herman, Paris, 1966.

    MATH  Google Scholar 

  9. G. C. Shephard,Convex bodies and convexity on Grassmann cones, VIII,Projection functions of vector sums of convex sets, J. London Math. Soc.39 (1964), 417–423.

    Article  MATH  MathSciNet  Google Scholar 

  10. W. Weil,Kontinuierliche Linearkombination von Strecken, Math. Z.148 (1976), 71–84.

    Article  MATH  MathSciNet  Google Scholar 

  11. W. Weil,Centrally symmetric convex bodies and distributions, Israel J. Math.24 (1976), 352–367.

    Article  MATH  MathSciNet  Google Scholar 

  12. W. Weil,On surface area measures of convex bodies, to appear in Geometriae Dedicata.

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Authors and Affiliations

  1. Albert-Ludwigs-Universität, Freiburg, Germany

    Wolfgang Weil

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  1. Wolfgang Weil
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Weil, W. Centrally symmetric convex bodies and distributions II. Israel J. Math. 32, 173–182 (1979). https://doi.org/10.1007/BF02764913

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  • DOI: https://doi.org/10.1007/BF02764913

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