Journal of Convex Analysis 20 (2013), No. 2, 453--474
Copyright Heldermann Verlag 2013
Santaló Region of a Log-Concave Function
Tal Weissblat
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
tal.math@gmail.com
We define the Santaló-Region and the Floating Body of a log-concave function on Rn. We then study their properties. Our main result is that any relation of floating body and Santaló region of a convex body is translated to a relation of floating body and Santaló region of an even log-concave function.
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