This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as
volume 202 in this series. Asymptotic geometric analysis studies properties of geometric …

Convex and Discrete Geometry is an area of mathematics situated between analysis,
geometry and discrete mathematics with numerous relations to other areas. The book gives …

GENERAL Lp AFFINE ISOPERIMETRIC INEQUALITIES Christoph Haberl & Franz E.
Schuster Abstract 1. Introduction Projection bodies Page 1 j. differential geometry 83 (2009) …

A classification of upper semicontinuous and SL (n) invariant valuations on the space of n-
dimensional convex bodies is established. As a consequence, complete characterizations of …

Centroid and difference bodies define $\operatorname {SL}(n) $ equivariant operators on
convex bodies and these operators are valuations with respect to Minkowski addition. We …

DESCRIPTION OF TRANSLATION INVARIANT VALUATIONS ON CONVEX SETS WITH
SOLUTION OF P. MCMULLEN’S CONJECTURE S. Alesker 1 Introduc Page 1 GAFA, Geom …

General affine surface areas Page 1 Advances in Mathematics 224 (2010) 2346–2360 www.elsevier.com/locate/aim
General affine surface areas Monika Ludwig1 Department of Mathematics, Polytechnic …

All upper semicontinuous and $\mathrm {SL}(n) $ invariant valuations on convex bodies
containing the origin in their interiors are completely classified. Each such valuation is …

Surface bodies and p-affine surface area Page 1 http://www.elsevier.com/locate/aim Advances
in Mathematics 187 (2004) 98–145 Surface bodies and p-affine surface area Carsten …

All GL (n) covariant star-body-valued valuations on convex polytopes are completely
classified. It is shown that there is a unique nontrivial such valuation. This valuation turns out …