Remarks on Berezin quantization on the Siegel-Jacobi ball

DOI10.1007/978-3-319-69164-0_15zbMath1390.81264OpenAlexW2783064362MaRDI QIDQ4643434

Stefan Berceanu

Publication date: 24 May 2018

Published in: Physical and Mathematical Aspects of Symmetries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-69164-0_15

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Berezin quantization of homogeneous bounded domains
• Moment maps, scalar curvature and quantization of Kähler manifolds
• Balanced metric and Berezin quantization on the Siegel-Jacobi ball
• The theory of Jacobi forms
• A holomorphic representation of the semidirect sum of symplectic and Heisenberg Lie algebras
• Some remarks on homogeneous Kähler manifolds
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• Coherent states and geodesics: Cut locus and conjugate locus
• Scalar curvature and projective embeddings. I
• Coherent state embeddings, polar divisors and Cauchy formulas
• Lectures in modern analysis and applications. III
• Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
• Isometric imbedding of complex manifolds
• ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS
• Applications of the Jacobi group to Quantum Mechanics
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• COHERENT STATES AND KAHLER MANIFOLDS
• Quantization of Kahler Manifolds. II
• Berezin Quantization and Reproducing Kernels on Complex Domains
• A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS
• A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA
• Elements of the representation theory of the Jacobi group
• Representation theory and convexity

This page was built for publication: Remarks on Berezin quantization on the Siegel-Jacobi ball