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Showing 1 to 2 of 2 for “"Geometric Functional Analysis"”.
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Applications of the fourier transform to convex geometry
… problems arising from Convex Geometry and Geometric Functional Analysis using tools of Fourier Analysis. In chapters two through four we consider the Busemann-Petty problem and its different modifications and generalizations. We solve the Busemann-Petty problem in hyperbolic and spherical …
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Topics in high-dimensional geometry and optimal transport
The first two chapters of this thesis are devoted to a question of Vitali Milman about the existence of well-complemented almost Euclidean subspaces of spaces uniformly isomorphic to $\ell_2^n$. First, we show that there exist constants $\alpha,\epsilon>0$ such that for every positive integer $n$ …