Letters in Mathematical Physics

, Volume 106, Issue 12, pp 1673–1694 | Cite as

Subprincipal Symbol for Toeplitz Operators

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Abstract

We establish some subprincipal estimates for Berezin–Toeplitz operators on symplectic compact manifolds. From this, we construct a family of subprincipal symbol maps and we prove that these maps are the only ones satisfying some expected conditions.

Keywords

Berezin–Toeplitz operators subprincipal symbol quantization Kähler manifolds Darboux transformations 

Mathematics Subject Classification

53D50 81S10 
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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Institut de Mathématiques de Jussieu-Paris Rive GaucheSorbonne Universités, UPMC Univ Paris 06, UMR 7586ParisFrance

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