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JOURNALS // Algebra i Analiz // Archive

Algebra i Analiz, 2017 Volume 29, Issue 1, Pages 222–236 (Mi aa1528)

This article is cited in 3 papers

Research Papers

“Irrational” constructions in convex geometry

V. Milmana, L. Rotemb

a Tel Aviv University, PO Box 39040, Ramat-Aviv 69978, Israel
b University of Minnesota, 206 Church St. SE, Minneapolis, MN 55455, USA

Abstract: Several ways to define various “irrational” functions of convex bodies, like the geometric mean or power functions, are discussed.

Keywords: convex body, Minkowski sum, support function, ellipsoid, polar body, polarity map.

Received: 03.10.2016

Language: English


 English version:
St. Petersburg Mathematical Journal, 2018, 29:1, 165–175

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