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Minkowski valuations on convex functions

A classification of [Formula: see text] contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new [Formula: see text] covariant Minkowski valuation on convex functions...

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Detalles Bibliográficos
Autores principales: Colesanti, Andrea, Ludwig, Monika, Mussnig, Fabian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5653878/
https://www.ncbi.nlm.nih.gov/pubmed/29104373
http://dx.doi.org/10.1007/s00526-017-1243-4
Descripción
Sumario:A classification of [Formula: see text] contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new [Formula: see text] covariant Minkowski valuation on convex functions is defined and characterized.