Complex Powers and Non-compact Manifolds

DOI10.1081/PDE-120037329zbMath1071.58022arXivmath/0211305MaRDI QIDQ3157906

András Vasy, Robert Lauter, Victor Nistor, Bernd Ammann

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211305

zbMATH Keywords

pseudodifferential operatorsasymptotically cylindricalasymptotically hyperbolicasymptotically Euclideancomplex powers

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudogroups and differentiable groupoids (58H05)

Related Items (18)

Hadamard property of the \textit{in} and \textit{out} states for Klein-Gordon fields on asymptotically static spacetimes ⋮ An equivariant noncommutative residue ⋮ Modified Green-hyperbolic operators ⋮ Resolvents and complex powers of semiclassical cone operators ⋮ Boutet de Monvel operators on singular manifolds ⋮ Spectral 𝜁-invariants lifted to coverings ⋮ Semi-classical functional calculus on manifolds with ends and weighted \(L^p\) estimates ⋮ Weyl laws on open manifolds ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry ⋮ Boutet de Monvel operators on Lie manifolds with boundary ⋮ Determinants of classical SG‐pseudodifferential operators ⋮ Unbounded pseudodifferential calculus on Lie groupoids ⋮ Algebras of pseudodifferential operators on complete manifolds ⋮ Boundary value problems and layer potentials on manifolds with cylindrical ends ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ MAPPING PROPERTIES OF HEAT KERNELS, MAXIMAL REGULARITY, AND SEMI-LINEAR PARABOLIC EQUATIONS ON NONCOMPACT MANIFOLDS ⋮ Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry

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