Título:
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Radial continuous rotation invariant valuations on star bodies
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Autores:
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Villanueva, Ignacio
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2016
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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We characterize the positive radial continuous and rotation invariant valuations V defined on the star bodies of Rn as the applications on star bodies which admit an integral representation with respect to the Lebesgue measure. That is,V(K)=?Sn?1?(?K)dm, where ? is a positive continuous function, ?K is the radial function associated to K and m is the Lebesgue measure on Sn?1. As a corollary, we obtain that every such valuation can be uniformly approximated on bounded sets by a linear combination of dual quermassintegrals.
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En línea:
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https://eprints.ucm.es/36032/1/Villanueva24libre.pdf
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