Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

For a real symmetric domain G_R/K_R, with complexification G_C/K_C, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the G_R-invariant differen...

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Bibliographic Details
Main Authors: Miroslav Englis, Harald Upmeier
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
bounded symmetric domain
Toeplitz operator
star product
covariant quantizationn
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.021
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spelling doaj-7c93d64a0e2f41b8bfa2fa0affeb71872020-11-24T20:45:10ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-02-015021Toeplitz Quantization and Asymptotic Expansions: Geometric ConstructionMiroslav EnglisHarald UpmeierFor a real symmetric domain G_R/K_R, with complexification G_C/K_C, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the G_R-invariant differential operators yielding its asymptotic expansion. http://dx.doi.org/10.3842/SIGMA.2009.021bounded symmetric domainToeplitz operatorstar productcovariant quantizationn
collection DOAJ
language English
format Article
sources DOAJ
author Miroslav Englis
Harald Upmeier
spellingShingle Miroslav Englis
Harald Upmeier
Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
Symmetry, Integrability and Geometry: Methods and Applications
bounded symmetric domain
Toeplitz operator
star product
covariant quantizationn
author_facet Miroslav Englis
Harald Upmeier
author_sort Miroslav Englis
title Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
title_short Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
title_full Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
title_fullStr Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
title_full_unstemmed Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
title_sort toeplitz quantization and asymptotic expansions: geometric construction
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2009-02-01
description For a real symmetric domain G_R/K_R, with complexification G_C/K_C, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the G_R-invariant differential operators yielding its asymptotic expansion.
topic bounded symmetric domain
Toeplitz operator
star product
covariant quantizationn
url http://dx.doi.org/10.3842/SIGMA.2009.021
work_keys_str_mv AT miroslavenglis toeplitzquantizationandasymptoticexpansionsgeometricconstruction
AT haraldupmeier toeplitzquantizationandasymptoticexpansionsgeometricconstruction
_version_ 1716815218340790272

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