<div class="csl-bib-body">
<div class="csl-entry">Knörr, J. (2024). Smooth valuations on convex functions. <i>Journal of Differential Geometry</i>, <i>126</i>(2), 801–835. https://doi.org/10.4310/jdg/1712344223</div>
</div>
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dc.identifier.issn
0022-040X
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/197290
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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-omogeneous, 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
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dc.publisher
INT PRESS BOSTON, INC
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dc.relation.ispartof
Journal of Differential Geometry
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dc.subject
convex function
en
dc.subject
valuation on functions
en
dc.subject
differential cycle
en
dc.title
Smooth valuations on convex functions
en
dc.type
Article
en
dc.type
Artikel
de
dc.description.startpage
801
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dc.description.endpage
835
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dcterms.dateSubmitted
2022
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dc.type.category
Original Research Article
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tuw.container.volume
126
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tuw.container.issue
2
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
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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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dcterms.isPartOf.title
Journal of Differential Geometry
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tuw.publication.orgunit
E104-07 - Forschungsbereich Geometrische Analysis
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tuw.publisher.doi
10.4310/jdg/1712344223
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dc.identifier.eissn
1945-743X
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dc.description.numberOfPages
35
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wb.sci
true
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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.fulltext
no Fulltext
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item.grantfulltext
restricted
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item.languageiso639-1
en
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item.openairetype
research article
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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crisitem.author.dept
E104-07 - Forschungsbereich Geometrische Analysis
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie