Positivity, complex FIOs, and Toeplitz operators

DOI10.2140/paa.2019.1.327zbMath1429.32047arXiv1807.00922OpenAlexW3104549556MaRDI QIDQ2327891

Michael Hitrik, Lewis A. Coburn, Johannes Sjöstrand

Publication date: 8 October 2019

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00922

zbMATH Keywords

Toeplitz operatorpositive canonical transformationFourier integral operator in the complex domainpositive Lagrangian planestrictly plurisubharmonic quadratic form

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Fourier integral operators applied to PDEs (35S30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Plurisubharmonic functions and generalizations (32U05) Pseudodifferential operators in several complex variables (32W25)

Related Items

Semiclassical Gevrey operators and magnetic translations ⋮ Propagation of global analytic singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Asymptotics for Bergman projections with smooth weights: a direct approach ⋮ Complex FIOs and composition of Toeplitz operators ⋮ \( L^p\)-bounds for semigroups generated by non-elliptic quadratic differential operators ⋮ Boundedness of metaplectic Toeplitz operators and Weyl symbols ⋮ Analytic Bergman operators in the semiclassical limit ⋮ Schrödinger trace invariants for homogeneous perturbations of the harmonic oscillator ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets

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