Borthwick, David; Lesniewski, Andrzej; Rinaldi, Maurizio Notes on the structure of quantized Hermitian symmetric spaces. (English) Zbl 0830.46068 Rev. Math. Phys. 7, No. 6, 871-891 (1995). Summary: We give a self-contained presentation of quantization theory for non- compact hermitian symmetric spaces within a non-perturbative scheme, reviewing previously established facts as needed. A number of new results are proven, with emphasis on the algebraic and structural aspects of the theory. In addition, we formulate a number of conjectures concerning the structure of the \(\mathbb{C}^*\)-algebras of quantized functions. MSC: 46N50 Applications of functional analysis in quantum physics 46L60 Applications of selfadjoint operator algebras to physics 81S05 Commutation relations and statistics as related to quantum mechanics (general) 47N50 Applications of operator theory in the physical sciences 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators Keywords:quantization theory; non-compact hermitian symmetric spaces; non- perturbative scheme; \(\mathbb{C}^*\)-algebras of quantized functions PDFBibTeX XMLCite \textit{D. Borthwick} et al., Rev. Math. Phys. 7, No. 6, 871--891 (1995; Zbl 0830.46068) Full Text: DOI