Skip to main content
Log in

Centrally symmetric convex bodies and distributions

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

To each centrally symmetric convex body is assigned a distribution on the sphere. As applications, geometric formulas and a characterization of zonoids are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Berg,Corps convexes et potentiels sphériques, Danske Vid. Selsk. Mat.-Fys. Medd.37 (1969), 6.

    Google Scholar 

  2. W. Blaschke,Kreis und Kugel, 1st ed., Leipzig, 1916.

  3. T. Bonnesen and W. Fenchel,Theorie der konvexen Körper, Berlin, 1934.

  4. H. Busemann,Convex surfaces, New York, 1958.

  5. R. Schneider,Zu einem Problem von Shephard über die Projektionen konvexer Körper, Math. Z.101 (1967), 71–82.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. Schneider,Über eine Integralgleichung in der Theorie der konvexen Körper, Math. Nachr.,44 (1970), 55–75.

    Article  MATH  MathSciNet  Google Scholar 

  7. L. Schwartz,Théorie des distributions, Paris, 1966.

  8. W. Weil,Decomposition of convex bodies, Mathematika21 (1974), 19–25.

    Article  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weil, W. Centrally symmetric convex bodies and distributions. Israel J. Math. 24, 352–367 (1976). https://doi.org/10.1007/BF02834765

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02834765

Keywords

Navigation