1Department of Mathematics Tel Aviv University Ramat Aviv, Israel 2Équipe d'Analyse et Mathématiques Appliquées Université de Marne-la-Vallée 5 boulevard Descartes, Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France
Studia Mathematica, Tome 159 (2003) no. 2, pp. 247-261
We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low $M^*$-estimates, large Euclidean sections of finite volume-ratio spaces and others.
Keywords:
present general result regularization arbitrary convex body generally star body which gives extends global forms number known local facts low * estimates large euclidean sections finite volume ratio spaces others
Affiliations des auteurs :
V. D. Milman 
1
;
A. Pajor 
2
1
Department of Mathematics Tel Aviv University Ramat Aviv, Israel
2
Équipe d'Analyse et Mathématiques Appliquées Université de Marne-la-Vallée 5 boulevard Descartes, Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France
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author = {V. D. Milman and A. Pajor},
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hyperplane cut off
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V. D. Milman; A. Pajor. Regularization of star bodies by random
hyperplane cut off. Studia Mathematica, Tome 159 (2003) no. 2, pp. 247-261. doi: 10.4064/sm159-2-6