Publication: Radial continuous rotation invariant valuations on star bodies
dc.contributor.author | Villanueva, Ignacio | |
dc.date.accessioned | 2023-06-18T06:50:24Z | |
dc.date.available | 2023-06-18T06:50:24Z | |
dc.date.issued | 2016 | |
dc.description.abstract | 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. | |
dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
dc.description.sponsorship | Comunidad de Madrid | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/36032 | |
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dc.identifier.doi | 10.1016/j.aim.2015.12.030 | |
dc.identifier.issn | 0001-8708 | |
dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0001870816000335 | |
dc.identifier.relatedurl | http://arxiv.org/abs/1503.06064 | |
dc.identifier.relatedurl | http://www.sciencedirect.com | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/24365 | |
dc.issue.number | 19 | |
dc.journal.title | Advances in Mathematics | |
dc.language.iso | eng | |
dc.page.final | 981 | |
dc.page.initial | 961 | |
dc.publisher | Elsevier | |
dc.relation.projectID | MTM2014-54240-P | |
dc.relation.projectID | QUITEMAD+ (S2013/ICE-2801) | |
dc.rights.accessRights | restricted access | |
dc.subject.cdu | 517 | |
dc.subject.keyword | Convex geometry | |
dc.subject.keyword | Valuations | |
dc.subject.keyword | Star bodies | |
dc.subject.ucm | Análisis matemático | |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
dc.title | Radial continuous rotation invariant valuations on star bodies | |
dc.type | journal article | |
dc.volume.number | 291 | |
dspace.entity.type | Publication |