Geodesic
Berezin-Toeplitz Quantization on the Schwartz Space of Bounded Symmetric Domains
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 27-5

Voir la notice de l'article provenant de la source Heldermann Verlag

Borthwick, Lesniewski and Upmeier [Nonperturbative deformation quantization of Cartan domains, J. Funct. Anal. 113 (1993) 153--176] proved that on any bounded symmetric domain (Hermitian symmetric space of non-compact type), for any compactly supported smooth functions f and g, the product of the Toeplitz operators TfTg on the standard weighted Bergman spaces can be asymptotically expanded into a series of another Toeplitz operators multiplied by decreasing powers of the Wallach parameter ν. This is the Berezin-Toeplitz quantization.
Classification : 22E30, 43A85, 47B35, 53D55
Mots-clés : Berezin-Toeplitz quantization, bounded symmetric domain, Schwartz space 
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M. Englis . Berezin-Toeplitz Quantization on the Schwartz Space of Bounded Symmetric Domains. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 27-5. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a2/