Geometric & Functional Analysis GAFA

, Volume 10, Issue 6, pp 1507–1526

A functional analytic approach to intersection bodies

  • A. Koldobsky


We consider several generalizations of the concept of an intersection body and show their connections with the Fourier transform and embeddings in Lp-spaces. These connections lead to generalizations of the recent solution to the Busemann—Petty problem on sections of convex bodies.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • A. Koldobsky
    • 1
  1. 1.Department of Mathematics, University of Missouri-Columbia, Columbia MO 65211, USA, e-mail: koldobsk@math.missouri.eduUS

Personalised recommendations