<div class="csl-bib-body">
<div class="csl-entry">Knörr, J. (2025). Singular Valuations and the Hadwiger Theorem on Convex Functions. <i>Journal of Geometric Analysis</i>, <i>35</i>(11), Article 336. https://doi.org/10.1007/s12220-025-02170-6</div>
</div>
-
dc.identifier.issn
1050-6926
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/223160
-
dc.description.abstract
We give a classification of smooth, rotation and dually epi-translation invariant valuations and use this result to obtain a new proof of the Hadwiger theorem on convex functions, originally established by Colesanti, Ludwig and Mussnig. We also give a description of the construction of the functional intrinsic volumes using integration over the differential cycle and provide a new representation of these functionals as principal value integrals with respect to the Hessian measures.
en
dc.language.iso
en
-
dc.publisher
SPRINGER
-
dc.relation.ispartof
Journal of Geometric Analysis
-
dc.subject
Convex function
en
dc.subject
differential cycle
en
dc.subject
singular valuation
en
dc.title
Singular Valuations and the Hadwiger Theorem on Convex Functions
