Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol
Differential Geometry
2014-04-29 v2 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with --\,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.
Keywords
Cite
@article{arxiv.1310.3571,
title = {Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol},
author = {Tatyana Barron and Xiaonan Ma and George Marinescu and Martin Pinsonnault},
journal= {arXiv preprint arXiv:1310.3571},
year = {2014}
}
Comments
Final version, 27 pages