Abstract

We define the Santaló-Region and the Floating Body of a log-concave function on Rn\mathbb{R}^n. 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

Author information

Contact details are reproduced from the original publication and may be historical.

Tal Weissblat

School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel

tal.math@gmail.com

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Suggested citation

T. Weissblat. “Santaló Region of a Log-Concave Function.” Journal of Convex Analysis 20 (2013), No. 2, 453–474. https://doi.org/10.68381/jca20027

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Published by Heldermann Verlag, 2013. Rights now held by Banach Press LLC.