Spectral Properties of Semi-classical Toeplitz Operators

  • V. GuilleminEmail author
  • A. Uribe
  • Z. Wang
Part of the Progress in Mathematics book series (PM, volume 326)


The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μ of a semi-classical Toeplitz operator, Q, and an equivariant version of this result when Q admits an n-torus as a symmetry group. In addition we discuss some inverse spectral consequences of these results.


Toeplitz operators spectral asymptotics 

Mathematics Subject Classification (2010):

58J50 (Primary) 47B35 81Q20 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Mathematics DepartmentMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Mathematics DepartmentUniversity of MichiganAnn ArborUSA
  3. 3.School of Mathematical SciencesUniversity of Science and Technology of ChinaHefeiChina

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