Record link: 
http://hdl.handle.net/20.500.12708/78103
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Title: 
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures
en
Citation: 
Colesanti, A., Ludwig, M., & Mussnig, F. (2022). The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. Calculus of Variations and Partial Differential Equations, 61(5), 181. https://doi.org/10.1007/s00526-022-02288-3
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Publisher DOI: 
10.1007/s00526-022-02288-3
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Publication Type: 
Article - Original Research Article
en
Language: 
English
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Authors: 
Colesanti, Andrea 
Ludwig, Monika 
Mussnig, Fabian 
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Organisational Unit: 
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie 
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Journal: 
Calculus of Variations and Partial Differential Equations 
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ISSN: 
0944-2669
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Date (published): 
12-Jul-2022
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Number of Pages: 
37
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Publisher: 
SPRINGER HEIDELBERG
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Peer reviewed: 
Yes
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Keywords: 
Convex function; Monge-Ampère measure; Steiner formula; Valuation
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Abstract: 
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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Project title: 
Bewertungen auf konvexen Funktionen: P 34446-N (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) 
Hessische Ungleichungen und Erweiterungen auf Sobolev-Räumen: J 4490 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) 
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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