We consider Dirac equations on even-dimensional Lorentzian manifolds of bounded
geometry with a spin structure. For the associated free quantum field theory, we construct …

We define and study an algebra Ψ_1,0,\calV^∞(M_0) of pseudodifferential operators
canonically associated to a noncompact, Riemannian manifold M_0 whose geometry at …

We study a generalization of the geodesic spray and give conditions for noncomapct
manifolds with a Lie structure at infinity to have positive injectivity radius. We also prove that …

These lecture notes give an exposition of microlocal analysis methods in the study of
Quantum Field Theory on curved spacetimes. We concentrate on free fields and the …

Abstract We consider the Klein–Gordon equation on a class of Lorentzian manifolds with
Cauchy surface of bounded geometry, which is shown to include examples such as exterior …

We give explicit Fredholm conditions for classes of pseudodifferential operators on suitable
singular and non-compact spaces. In particular, we include a “user's guide” to Fredholm …

We develop an abstract theory of unbounded longitudinal pseudodifferential calculus on
smooth groupoids (also called Lie groupoids) with compact basis. We analyze these …

We consider the massive Klein-Gordon equation on asymptotically Minkowski spacetimes,
in the sense that the manifold is $\Bbb {R}^{1+ d} $ and the metric approaches that of …

Complex powers of the wave operator and the spectral action on Lorentzian scattering spaces
Page 1 © 2023 European Mathematical Society Published by EMS Press J. Eur. Math. Soc …

We consider the massive Klein–Gordon equation on a class of asymptotically static
spacetimes (in the long-range sense) with Cauchy surface of bounded geometry. We prove …