Spectral asymptotics on stationary space-times

DOI10.1142/S0129055X20600077zbMath1471.83009OpenAlexW3030743566MaRDI QIDQ5156022

Alexander Strohmaier, Steven Zelditch

Publication date: 14 October 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x20600077

zbMATH Keywords

Killing vector fieldstationaryWeyl asymptoticsmasssemi-classicalLorentzianKlein-Gordon

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Related Items (2)

Dynamical residues of Lorentzian spectral zeta functions ⋮ A Gutzwiller trace formula for Dirac operators on a stationary spacetime

Cites Work

• Geodesics in stationary spacetimes and classical Lagrangian systems
• Wave equations on Lorentzian manifolds and quantization.
• Algebras of local observables on a manifold
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces
• Partial differential equations. 3: Nonlinear equations
• A Gutzwiller trace formula for stationary space-times
• The spectral function of an elliptic operator
• Fourier integral operators. II
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Spectral asymptotics in eigenvalue problems with nonlinear dependence on the spectral parameter
• Fourier Tauberian theorems and applications
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