2017/06/13 by Victor Guillemin, Guillemin, Victor, Alejandro Uribe +3
Mathematics · #47B35 #58C40 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1706.04103
openalex publication_date 2017/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μ_ℏ of a semi-classical Toeplitz operator, Q_ℏ, and an equivariant version of this result when Q_ℏ admits an n-torus as a symmetry group. In addition we discuss some inverse spectral consequences of these results.