A Remark on the Essential Self-adjointness for Klein-Gordon-Type Operators

Article Physics, Mathematical

Essential Self-Adjointness of Klein-Gordon Type Operators on Asymptotically Static, Cauchy-Compact Spacetimes

Shu Nakamura et al.

Summary: This paper investigates the essential self-adjointness of a symmetric Klein-Gordon type operator on a closed manifold equipped with a Riemannian metric. The proof utilizes ideas from a recent paper by the authors on the essential self-adjointness of Klein-Gordon operators on asymptotically flat spaces.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2023)

添加到收藏夹

Article Mathematics

DYNAMICAL RESIDUES OF LORENTZIAN SPECTRAL ZETA FUNCTIONS

Nguyen Viet Dang et al.

Summary: This study generalizes the concept of residue for pseudo-differential operators by introducing a dynamical residue. The formalism is applied to the wave operator and Lorentzian spectral zeta functions, and it is shown that their residues have local geometric content.

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES (2022)

添加到收藏夹

Article Physics, Mathematical

Limiting Absorption Principle and Equivalence of Feynman Propagators on Asymptotically Minkowski Spacetimes

Kouichi Taira

Summary: The paper demonstrates the limiting absorption principle for the wave operator on asymptotically Minkowski spacetimes using Mourre theory, a more transparent tool than previously employed. Additionally, it establishes the equivalence between the anti-Feynman propagator defined by Gerard and Wrochna and the outgoing resolvent.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021)

添加到收藏夹

Article Mathematics