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.

Final version, 27 pages

References in corpus (4)

• Toeplitz operators on symplectic manifolds
• Berezin-Toeplitz quantization on Kaehler manifolds
• Berezin-Toeplitz quantization and its kernel expansion
• Quantum unsharpness and symplectic rigidity

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