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Characterization of affinely-rotation-invariant log-concave measures by section-centroid location

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1469))

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References

  1. K. Ball, Logarithmically concave functions and sections of convex sets in ℝn, Studia Math. 88 (1988), 68–84.

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  2. C. Borell, Convex set functions in d-space, Period. Math. Hung. 6 (1975), 111–136.

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  3. M. Meyer and A. Pajor, On the Blaschke-Santaló inequality, Arch. Math. 55 (1990), 82–93.

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  4. M. Meyer and S. Reisner, Characterizations of ellipsoids by section-centroid location, Geom. Ded. 31 (1989), 345–355.

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  5. M. Meyer and S. Reisner, A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces, Geom. Ded. to appear.

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  6. A. Prekopa, On logarithmic concave measures and functions, Acta Sci. Math. 34 (1973), 335–343.

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Author information

Authors and Affiliations

  1. Equipe d'Analyse, Université Paris VI, Paris, France

    M. Meyer

  2. Department of Mathematics, University of Haifa, Haifa, Israel

    S. Reisner

Authors
  1. M. Meyer
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  2. S. Reisner
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Editor information

Joram Lindenstrauss Vitali D. Milman

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© 1991 Springer-Verlag

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Meyer, M., Reisner, S. (1991). Characterization of affinely-rotation-invariant log-concave measures by section-centroid location. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089221

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  • DOI: https://doi.org/10.1007/BFb0089221

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54024-3

  • Online ISBN: 978-3-540-47355-8

  • eBook Packages: Springer Book Archive

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