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
Description
Summary: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.
ISSN:1815-0659

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