A remark on the essential self-adjointness for Klein-Gordon type operators

Abstract

Here we discuss a new simplified proof of the essential self-adjointness for formally self-adjoint differential operators of real principal type, previously proved by Vasy (2020) and Nakamura-Taira (2021). For simplicity, here we discuss the second order cases, i.e., Klein-Gordon type operators only.

References in corpus (6)

• Feynman Propagators on Static Spacetimes
• The Feynman propagator on perturbations of Minkowski space
• An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime
• Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
• Dynamical residues of Lorentzian spectral zeta functions
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Cited by in corpus (5)

• Essential self-adjointness for the Klein-Gordon type operators on asymptotically static spacetime
• Analytic semigroups approaching a Schrödinger group on real foliated metric manifolds
• Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
• Propagators in curved spacetimes from operator theory
• Global Hyperbolicity and Self-adjointness