Spectral Properties of Semi-classical Toeplitz Operators
The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μℏ of a semi-classical Toeplitz operator, Qℏ, and an equivariant version of this result when Qℏ admits an n-torus as a symmetry group. In addition we discuss some inverse spectral consequences of these results.
KeywordsToeplitz operators spectral asymptotics
Mathematics Subject Classification (2010):58J50 (Primary) 47B35 81Q20
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