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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Detalhes bibliográficos
Autor principal: Plakhov, Alexander (author)
Formato: article
Idioma:eng
Publicado em: 2019
Assuntos:
Texto completo:http://hdl.handle.net/10773/26027
País:Portugal
Oai:oai:ria.ua.pt:10773/26027