# A Short Solution to the Busemann-Petty Problem

A Short Solution to the Busemann-Petty Problem A unified analytic solution to the Busemann-Petty problem was recently found by Gardner, Koldobsky and Schlumprecht. We give an elementary proof of their formulas for the inverse Radon transform of the radial function $$\rho _K$$ of an origin-symmetric star body $$K$$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# A Short Solution to the Busemann-Petty Problem

, Volume 3 (1) – Oct 22, 2004
6 pages

/lp/springer_journal/a-short-solution-to-the-busemann-petty-problem-tVjZh2YPXB
Publisher
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009777119957
Publisher site
See Article on Publisher Site

### Abstract

A unified analytic solution to the Busemann-Petty problem was recently found by Gardner, Koldobsky and Schlumprecht. We give an elementary proof of their formulas for the inverse Radon transform of the radial function $$\rho _K$$ of an origin-symmetric star body $$K$$ .

### Journal

PositivitySpringer Journals

Published: Oct 22, 2004

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