## 7 Citations

The Light Ray Transform in Stationary and Static Lorentzian Geometries

- MathematicsThe Journal of Geometric Analysis
- 2020

Given a Lorentzian manifold, the light ray transform of a function is its integrals along null geodesics. This paper is concerned with the injectivity of the light ray transform on functions and…

A Trace Formula on Stationary Kaluza-Klein Spacetimes

- Mathematics
- 2022

We prove relativistic versions of the ladder asymptotics from [11] on principal bundles over globally hyperbolic, stationary, spatially compact spacetimes equipped with a Kaluza-Klein metric. This…

A Gutzwiller Trace formula for Dirac Operators on a Stationary Spacetime

- Mathematics
- 2021

. A Duistermaat-Guillemin-Gutzwiller trace formula for Dirac-type operators on a globally hyperbolic spatially compact standard stationary spacetime is achieved by gener-alising the recent…

A P ] 1 7 A ug 2 02 1 Dynamical residues of Lorentzian spectral zeta functions

- Mathematics
- 2021

We define a dynamical residue which generalizes the Guillemin–Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition refers to…

Dynamical residues of Lorentzian spectral zeta functions

- Mathematics
- 2021

We define a dynamical residue which generalizes the Guillemin–Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition refers to…

Complex powers of the wave operator and the spectral action on Lorentzian scattering spaces

- Mathematics
- 2020

We consider the class of non-trapping Lorentzian scattering spaces, on which the wave operator $\square_g$ is known to be essentially self-adjoint [108]. We define complex powers…

Scattering Theory for the Charged Klein–Gordon Equation in the Exterior De Sitter–Reissner–Nordström Spacetime

- Mathematics, Physics
- 2019

We show asymptotic completeness for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordstr\"om spacetime when the product of the charge of the black hole with the charge of…

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- Mathematics
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