Subprincipal symbol for Toeplitz operators

DOI10.1007/S11005-016-0826-XzbMath1378.53103arXiv1410.2066OpenAlexW2962688309MaRDI QIDQ505639

Laurent Charles

Publication date: 26 January 2017

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

Full work available at URL: https://arxiv.org/abs/1410.2066

zbMATH Keywords

symplectic manifoldsquantizationKähler manifoldssubprincipal symbolBerezin-Toeplitz operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (3)

Almost representations of algebras and quantization ⋮ Asymptotic representations of Hamiltonian diffeomorphisms and quantization ⋮ On the composition of Berezin-Toeplitz operators on symplectic manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Symbolic calculus for Toeplitz operators with half-form
• Semi-classical properties of geometric quantization with metaplectic correction
• Semiclassical spectral estimates for Toeplitz operators
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Berezin--Toeplitz operators, a semi-classical approach
• Star products on compact pre-quantizable symplectic manifolds
• Holomorphic Morse inequalities and Bergman kernels
• Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case
• Berezin–Toeplitz quantization on Kähler manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Equivalence of star products
• Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators

This page was built for publication: Subprincipal symbol for Toeplitz operators