Local properties of the surface measure of convex bodies

It is well known that any measure in S^2 satisfying certain simple conditions is the surface measure of a bounded convex body in R^3. It is also known that a local perturbation of the surface measure may lead to a nonlocal perturbation of the corresponding convex body. We prove that, under mild cond...

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Bibliographic Details
Main Author: Plakhov, Alexander (author)
Format: article
Language:eng
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/10773/26027
Country:Portugal
Oai:oai:ria.ua.pt:10773/26027