Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol

Abstract

We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\cC^k$--\,symbol on a symplectic manifold. We also give a semi-classical estimate of the distance of a Toeplitz operator to the space of self-adjoint and multiplication operators.

arXiv commentFinal version, 27 pages

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Cited by in corpus (4)

• SU(2)-equivariant quantum channels: semiclassical analysis
• Geometric quantization results for semi-positive line bundles on a Riemann surface
• Gaussian holomorphic sections on noncompact complex manifolds
• On matrix description of D-branes