<div class="csl-bib-body">
<div class="csl-entry">Hafner, I. (2016). <i>A general version of Hadwiger’s characterization theorem</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2016.34191</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2016.34191
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/3580
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dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
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dc.description.abstract
In this thesis we study valuations on the space K(V) of convex bodies in an n-dimensional Euclidean vector space V taking values in an Abelian semigroup A. In particular, we analyze the space of continuous, translation invariant, complex valuations. We will see that this space is a Banach space. There is a natural continuous action of the general linear group Gl(n) on the space of continuous, translation invariant, complex valuations and thus the subspace of i-homogeneous valuations becomes an SO(n) module. Hence, it is possible to decompose this space into a sum of irreducible representations of SO(n). This thesis contains the full proof of this statement and the proof of a reformulation which can be seen as a Hadwiger-type characterization of continuous, translation invariant and SO(n)-equivariant tensor valuations of degree i. The proof we present was established by S. Alesker, A. Bernig and F. Schuster.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
valuations
en
dc.subject
representation theory
en
dc.subject
analysis on contact manifolds
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dc.title
A general version of Hadwiger's characterization theorem
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dc.title.alternative
Eine allgemeine Version des Charakterisierungssatzes von Hadwiger
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2016.34191
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Irina Hafner
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC13003143
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dc.description.numberOfPages
64
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-83486
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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item.fulltext
with Fulltext
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item.cerifentitytype
Publications
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item.mimetype
application/pdf
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item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
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item.languageiso639-1
en
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item.openaccessfulltext
Open Access
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item.openairetype
master thesis
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item.grantfulltext
open
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie