Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows

DOI10.1063/1.3679660zbMath1274.81149arXiv1103.3303OpenAlexW2965594286MaRDI QIDQ2861685

Roberto Paoletti

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1103.3303

zbMATH Keywords

equivariant Bergman-Szegö kernels

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Second-order elliptic equations (35J15) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (3)

Local scaling asymptotics for the Gutzwiller trace formula in Berezin-Toeplitz quantization ⋮ SCALING ASYMPTOTICS FOR QUANTIZED HAMILTONIAN FLOWS ⋮ Equivariant local scaling asymptotics for smoothed Toeplitz spectral projectors

Cites Work

• Unnamed Item
• Unnamed Item
• General concept of quantization
• Index and dynamics of quantized contact transformations
• Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• On a set of polarized Kähler metrics on algebraic manifolds
• Szegö kernels, Toeplitz operators, and equivariant fixed point formulae
• Lorentz manifolds modelled on a Lorentz symmetric space
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Universality and scaling of correlations between zeros on complex manifolds
• Formule de Poisson pour les variétés riemanniennes
• Holomorphic Morse inequalities and Bergman kernels
• Spectrum of the Laplace operator and periodic geodesics: thirty years after
• The spectral function of an elliptic operator
• Fourier integral operators. I
• Identification of Berezin-Toeplitz deformation quantization
• Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
• LOCAL TRACE FORMULAE AND SCALING ASYMPTOTICS IN TOEPLITZ QUANTIZATION
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Generalized Bergman kernels on symplectic manifolds

This page was built for publication: Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows