Semi-classical properties of Berezin–Toeplitz operators with C{sup k}-symbol
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7 (Canada)
- Institut Universitaire de France and Université Paris Diderot–Paris 7, UFR de Mathématiques, Case 7012, 75205 Paris Cedex 13 (France)
- Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany and Institute of Mathematics “Simion Stoilow,” Romanian Academy, Bucharest (Romania)
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with C{sup 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.
- OSTI ID:
- 22250783
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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