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Quantization of bounded domains

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UNSPECIFIED (1999) Quantization of bounded domains. JOURNAL OF GEOMETRY AND PHYSICS, 29 (1-2). pp. 1-4. ISSN 0393-0440

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Abstract

We consider the quantization of a complex manifold endowed with the Bergman form following the ideas of Cahen, Gutt and Rawnsley. In particular we give a geometric interpretation for the quantization to be regular in terms of the Hilbert space of square integrable holomorphic n-forms on M and the Hilbert space of holomorphic n-forms on M bounded with respect to the Liouville element. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Journal or Publication Title: JOURNAL OF GEOMETRY AND PHYSICS
Publisher: ELSEVIER SCIENCE BV
ISSN: 0393-0440
Date: January 1999
Volume: 29
Number: 1-2
Number of Pages: 4
Page Range: pp. 1-4
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/14917

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