*-products on \(D^ 1(C)\), \(S^ 2\) and related spectral analysis

DOI10.1007/BF00400432zbMath0528.58014OpenAlexW2911348650MaRDI QIDQ786429

Pilar Ortega-Navarro, Carlos S. Moreno

Publication date: 1983

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00400432

zbMATH Keywords

star productsdeformationsPoincare diskWeyl method

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Applications of global differential geometry to the sciences (53C80) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

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Cites Work

• General concept of quantization
• Sur les algèbres formelles associees par déformation à une variété symplectique
• Invariant *-products of holomorphic functions on the hyperbolic Hermitian spaces
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• QUANTIZATION