Gaussian Measure of Sections of convex bodies
نویسنده
چکیده
In this paper we study properties of sections of convex bodies with respect to the Gaussian measure. We develop a formula connecting the Minkowski functional of a convex symmetric body K with the Gaussian measure of its sections. Using this formula we solve an analog of the Busemann-Petty problem for Gaussian measures.
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تاریخ انتشار 2003