1997/07/31 by Stefan Berceanu, S. Berceanu
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #dg-ga #math.DG #msc:81R30
paper · pdf · doi:10.1016/s0034-4877(97)85912-5
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, Białowieża, Poland, 1-7 july 1996, Rep. Math. Phys.
arxiv created 1997/07/31 · openalex publication_date 1997/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.