arXiv:1203.4201 Abstract | arXiv Analytics

arXiv:1203.4201 [math.DG]Abstract References Reviews Resources

Berezin-Toeplitz quantization and its kernel expansion

Published 2012-03-19Version 1

We survey recent results about the asymptotic expansion of Toeplitz operators and their kernels, as well as Berezin-Toeplitz quantization. We deal in particular with calculation of the first coefficients of these expansions.

Comments: 34 pages

Journal: Travaux Math\'ematiques, Special Issue: Geometry and Quantization, Lectures of the school GEOQUANT 2009 at the University of Luxembourg, Volume XIX, 2011, 125-166

Categories: math.DG, math-ph, math.CV, math.MP, math.QA, math.SG

Subjects: 53D50, 53C21, 32Q15

Keywords: berezin-toeplitz quantization, kernel expansion, first coefficients, toeplitz operators

Tags: journal article

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