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:
Article
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
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author Colesanti, Andrea
Ludwig, Monika
Mussnig, Fabian
author_facet Colesanti, Andrea
Ludwig, Monika
Mussnig, Fabian
author_sort Colesanti, Andrea
collection PubMed
description 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.
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spelling pubmed-56538782017-11-01 Minkowski valuations on convex functions Colesanti, Andrea Ludwig, Monika Mussnig, Fabian Calc Var Partial Differ Equ Article 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. Springer Berlin Heidelberg 2017-10-23 2017 /pmc/articles/PMC5653878/ /pubmed/29104373 http://dx.doi.org/10.1007/s00526-017-1243-4 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Colesanti, Andrea
Ludwig, Monika
Mussnig, Fabian
Minkowski valuations on convex functions
title Minkowski valuations on convex functions
title_full Minkowski valuations on convex functions
title_fullStr Minkowski valuations on convex functions
title_full_unstemmed Minkowski valuations on convex functions
title_short Minkowski valuations on convex functions
title_sort minkowski valuations on convex functions
topic Article
url 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
work_keys_str_mv AT colesantiandrea minkowskivaluationsonconvexfunctions
AT ludwigmonika minkowskivaluationsonconvexfunctions
AT mussnigfabian minkowskivaluationsonconvexfunctions

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