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arXiv · 1310.3571

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

Tatyana Barron·Xiaonan Ma·George Marinescu·Martin Pinsonnault
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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.

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Tatyana Barron, Xiaonan Ma, George Marinescu, Martin Pinsonnault. 2014-04-28. Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol. https://doi.org/10.1063/1.4870869

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