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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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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