<div class="csl-bib-body">
<div class="csl-entry">Knörr, J. (2020). <i>Smooth valuations on convex functions</i>. arXiv. https://doi.org/10.48550/arXiv.2006.12933</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/81267
-
dc.description.abstract
We construct valuations on the space of finite-valued convex functions using integration of differential forms over the differential cycle associated to a convex function. We describe the kernel of this procedure and show that the intersection of this space of smooth valuations with the space of all continuous dually epi-translation invariant valuations on convex functions is dense in the latter. As an application, we obtain a description of 1-homogeneous, continuous, dually epi-translation invariant valuations that are invariant with respect to a compact subgroup operating transitively on the unit sphere.
en
dc.language.iso
en
-
dc.subject
convex functions
en
dc.subject
valuation on functions
en
dc.subject
differential cycle
en
dc.title
Smooth valuations on convex functions
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
https://arxiv.org/abs/2006.12933
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
tuw.publication.orgunit
E104-07 - Forschungsbereich Geometrische Analysis
-
tuw.publisher.doi
10.48550/arXiv.2006.12933
-
dc.description.numberOfPages
31
-
tuw.publisher.server
arXiv
-
dc.relation.ispreviousversionof
10.48550/arXiv.2006.12933
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_816b
-
item.languageiso639-1
en
-
item.openairetype
preprint
-
item.grantfulltext
none
-
crisitem.author.dept
E104-07 - Forschungsbereich Geometrische Analysis
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie