Semi-classical properties of Berezin–Toeplitz operators with $\mathscr {C}^k$Ck-symbol
Copyright policy )Semi-classical properties of Berezin–Toeplitz operators with $\mathscr {C}^k$Ck-symbol
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with \documentclass[12pt]{minimal}\begin{document}$\mathscr {C}^k$\end{document}Ck-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.
- Université Paris Cité France
- Institut Universitaire de France France
- Western University Canada
- University of Cologne Germany
Berezin-Toeplitz quantization, Deformation quantization, star products, Toeplitz operator, symplectic manifold, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Geometry and quantization, symplectic methods, Selfadjoint operator theory in quantum theory, including spectral analysis
Berezin-Toeplitz quantization, Deformation quantization, star products, Toeplitz operator, symplectic manifold, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Geometry and quantization, symplectic methods, Selfadjoint operator theory in quantum theory, including spectral analysis
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