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Title: Semi-classical properties of Berezin–Toeplitz operators with C{sup k}-symbol

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.
Authors:
;  [1] ;  [2] ;  [3]
  1. Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7 (Canada)
  2. Institut Universitaire de France and Université Paris Diderot–Paris 7, UFR de Mathématiques, Case 7012, 75205 Paris Cedex 13 (France)
  3. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany and Institute of Mathematics “Simion Stoilow,” Romanian Academy, Bucharest (Romania)
Publication Date:
OSTI Identifier:
22250783
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTANCE; KERNELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE