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The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures.
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian.
Affiliation
  • Colesanti A; Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy.
  • Ludwig M; Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstraße 8-10/1046, 1040 Wien, Austria.
  • Mussnig F; Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy.
Calc Var Partial Differ Equ ; 61(5): 181, 2022.
Article in En | MEDLINE | ID: mdl-35845980
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.
Key words

Full text: 1 Database: MEDLINE Language: En Journal: Calc Var Partial Differ Equ Year: 2022 Type: Article Affiliation country: Italy

Full text: 1 Database: MEDLINE Language: En Journal: Calc Var Partial Differ Equ Year: 2022 Type: Article Affiliation country: Italy