Colesanti, A., Ludwig, M., & Mussnig, F. (2024). The Hadwiger Theorem on Convex Functions, I. Geometric And Functional Analysis, 34(6), 1839–1898. https://doi.org/10.1007/s00039-024-00693-8
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
Journal:
Geometric And Functional Analysis
-
ISSN:
1016-443X
-
Date (published):
16-Oct-2024
-
Number of Pages:
60
-
Publisher:
SPRINGER BASEL AG
-
Peer reviewed:
Yes
-
Keywords:
26B25; 49Q20; 52A39; 52A41; 52B45
other
Abstract:
A complete classification of all continuous, epi-translation and rotation invariant valuations on the space of super-coercive convex functions on is established. The valuations obtained are functional versions of the classical intrinsic volumes. For their definition, singular Hessian valuations are introduced.
-
Project title:
Bewertungen auf konvexen Funktionen: P 34446-N (FWF - Österr. Wissenschaftsfonds) Integralgeometrie auf konvexen Funktionen: P 36210 (FWF - Österr. Wissenschaftsfonds)
