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arXiv · dg-ga/9707025

A remark on Berezin's quantization and cut locus

Abstract

The consequences for Berezin's quantization on symmetric spaces of the identity of the set of coherent vectors orthogonal to a fixed one with the cut locus are stated precisely. It is shown that functions expressing the coherent states, the covariant symbols of operators, the diastasis function, the characteristic and two-point functions are defined when one variable does not belong to the cut locus of the other one.

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BibTeXRIS

S. Berceanu. 1997-07-31. A remark on Berezin's quantization and cut locus. https://doi.org/10.1016/s0034-4877(97)85912-5

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