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A remark on Berezin's quantization and cut locus
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.Comment: 8 pages, Latex2e, ams fonts, to appear in "Quantizations,
Deformations and Coherent States", Edited by S. Twareque Ali, A. Odzijewicz
and A. Strasburger, Proceedings of the XV Workshop on Geometric Methods in
Physics, Bia\l owie\.{z}a, Poland, 1-7 july 1996, Rep. Math. Phys
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