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math.FA2020
Hyper contractivity on the unit circle for ultraspherical measures: linear case
Paata Ivanisvili, Alexander Lindenberger, Paul F. X. Müller +1
In this paper we extend complex uniform convexity estimates for to and determine best constants. Furthermore we provide the link to log-Sobolev inequal…
math.FA1992
The volume of the intersection of a convex body with its translates
Mathieu Meyer, Shlomo Reisner, M. Schmuckenschlager
It is proved that for a symmetric convex body K in R^n, if for some tau > 0, |K cap (x+tau K)| depends on ||x||_K only, then K is an ellipsoid. As a part of the proof, smoothness p…