Spectral properties of zeroth-order pseudodifferential operators

DOI10.1016/0022-1236(83)90078-2zbMath0528.58035OpenAlexW2050667970MaRDI QIDQ786436

Malcolm R. Adams

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90078-2

zbMATH Keywords

principal symbolwavefront setLagrangian distributionmicrolocal techniques

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items

Eigenvalue asymptotics for polynomially compact pseudodifferential operators ⋮ Discrete spectrum of zero order pseudodifferential operators ⋮ Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions

Cites Work

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• Perturbation theory for linear operators.
• Fourier integral operators. I
• Fourier integral operators. II
• The weyl calculus of pseudo-differential operators
• Lagrangian Intersection and the Cauchy Problem
• Pseudo‐differential operators
• An algebra of pseudo‐differential operators