An analytic solution to the Busemann-Petty problem on sections of convex bodies.

Gardner, R.J., Koldobsky, A., and Schlumprecht, T.. "An analytic solution to the Busemann-Petty problem on sections of convex bodies.." Annals of Mathematics. Second Series 149.2 (1999): 691-703. <http://eudml.org/doc/120294>.

@article{Gardner1999,
author = {Gardner, R.J., Koldobsky, A., Schlumprecht, T.},
journal = {Annals of Mathematics. Second Series},
keywords = {convex body; star body; Busemann-Petty problem; intersection body; Fourier transform; Radon transform; convexity; parallel section},
language = {eng},
number = {2},
pages = {691-703},
publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley},
title = {An analytic solution to the Busemann-Petty problem on sections of convex bodies.},
url = {http://eudml.org/doc/120294},
volume = {149},
year = {1999},
}

TY - JOUR
AU - Gardner, R.J.
AU - Koldobsky, A.
AU - Schlumprecht, T.
TI - An analytic solution to the Busemann-Petty problem on sections of convex bodies.
JO - Annals of Mathematics. Second Series
PY - 1999
PB - Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley
VL - 149
IS - 2
SP - 691
EP - 703
LA - eng
KW - convex body; star body; Busemann-Petty problem; intersection body; Fourier transform; Radon transform; convexity; parallel section
UR - http://eudml.org/doc/120294
ER -