The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures

A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge–Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained.

Detalles Bibliográficos
Autores principales: Colesanti, Andrea, Ludwig, Monika, Mussnig, Fabian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276625/
https://www.ncbi.nlm.nih.gov/pubmed/35845980
http://dx.doi.org/10.1007/s00526-022-02288-3
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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 complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge–Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained.
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spelling pubmed-92766252022-07-14 The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures Colesanti, Andrea Ludwig, Monika Mussnig, Fabian Calc Var Partial Differ Equ Article A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge–Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained. Springer Berlin Heidelberg 2022-07-12 2022 /pmc/articles/PMC9276625/ /pubmed/35845980 http://dx.doi.org/10.1007/s00526-022-02288-3 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Colesanti, Andrea
Ludwig, Monika
Mussnig, Fabian
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
title The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
title_full The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
title_fullStr The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
title_full_unstemmed The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
title_short The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
title_sort hadwiger theorem on convex functions, iii: steiner formulas and mixed monge–ampère measures
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276625/
https://www.ncbi.nlm.nih.gov/pubmed/35845980
http://dx.doi.org/10.1007/s00526-022-02288-3
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