<div class="csl-bib-body">
<div class="csl-entry">Hug, D., Mußnig, F., & Ulivelli, J. (2024). <i>Additive kinematic formulas for convex functions</i>. arXiv. https://doi.org/10.48550/arXiv.2403.06697</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/210178
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dc.description.abstract
We prove a functional version of the additive kinematic formula as an application of the Hadwiger theorem on convex functions together with a Kubota-type formula for mixed Monge-Ampère measures. As an application, we give a new explanation for the equivalence of the representations of functional intrinsic volumes as singular Hessian valuations and as integrals with respect to mixed Monge-Ampère measures. In addition, we obtain a new integral geometric formula for mixed area measures of convex bodies, where integration on SO(n−1)×O(1) is considered.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
integral geometry
en
dc.subject
additive kinematic formula
en
dc.subject
convex function
en
dc.subject
valuation
en
dc.subject
mixed Monge-Ampère measure
en
dc.subject
mixed area measure
en
dc.title
Additive kinematic formulas for convex functions
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2403.06697
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dc.relation.grantno
J 4490
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dc.relation.grantno
P 36210
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dc.relation.grantno
P 34446-N
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tuw.project.title
Hessische Ungleichungen und Erweiterungen auf Sobolev-Räumen
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tuw.project.title
Integralgeometrie auf konvexen Funktionen
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tuw.project.title
Bewertungen auf konvexen Funktionen
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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tuw.publisher.doi
10.48550/arXiv.2403.06697
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dc.description.numberOfPages
23
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tuw.author.orcid
0000-0002-4039-5217
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tuw.author.orcid
0000-0003-2012-1590
-
tuw.author.orcid
0000-0002-4726-5271
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dc.description.sponsorshipexternal
DFG
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dc.relation.grantnoexternal
HU 1874/5-1
-
tuw.publisher.server
arXiv
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dc.relation.ispreviousversionof
10.4153/S0008414X24000944
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.languageiso639-1
en
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item.openairetype
preprint
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_816b
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crisitem.author.dept
Karlsruhe Institute of Technology
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crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.orcid
0000-0002-4039-5217
-
crisitem.author.orcid
0000-0003-2012-1590
-
crisitem.author.orcid
0000-0002-4726-5271
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
