RT Journal Article
T1 Radial continuous rotation invariant valuations on star bodies
A1 Villanueva, Ignacio
AB 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−1θ(ρK)dm, where θ is a positive continuous function, ρK 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.
PB Elsevier
SN 0001-8708
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24365
UL https://hdl.handle.net/20.500.14352/24365
LA eng
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NO Ministerio de Economía y Competitividad (MINECO)
NO Comunidad de Madrid
DS Docta Complutense
RD 2 may 2024