Item type:Thesis, Open Access

Segal-Bargmann-Transformation und metaplektische Darstellung auf Euklidischen Jordan-Algebren

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Date

2007-08-01

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Philipps-Universität Marburg
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Abstract

The classical Segal Bargmann transform is extended to function spaces over Euclidian Jordan algebras. The geometric structure plays a vital part and a measure on the associated symmetric cones is described. The same mechanism allows to also extend the metaplectic representation to Euclidian Jordan algebras.

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Dates
Created: 2007Issued: 2007-08-01Updated: 2011-08-10
DOI
https://doi.org/10.17192/z2007.0479
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
ger
Data types
DoctoralThesis
Keywords
Symmetric conesQuadratic Jordan algebrasMetaplectic representationGeometric quantization
DFG-subjects
Metaplektische DarstellungMaslov-IndexQuadratische Jordan-AlgebraKonvexer KegelGeometrische Quantisierung
DDC-Numbers
510
License
https://rightsstatements.org/vocab/InC-NC/1.0/
URI
https://open.uni-marburg.de/handle/10.17192/z2007.0479
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Graeff, Thomas: Segal-Bargmann-Transformation und metaplektische Darstellung auf Euklidischen Jordan-Algebren. : Philipps-Universität Marburg 2007-08-01. DOI: https://doi.org/10.17192/z2007.0479.

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