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Why are symmetric convex bodies with a smooth boundary and non-vanishing Gaussian curvature of particular interest in harmonic analysis?

You might want to have a look at section 2.5 of "R. Schneider: Convex Bodies: the Brunn-Minkowski theory" for some results on smooth convex bodies. The condition of smooth boundary with non-...
Georg C. Hofstätter's user avatar

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