49 citations · 74 across the 6 of their papers we have counts for
6 papers
An index formula on manifolds with fibered cusp ends
Robert Lauter, Sergiu Moroianu
We consider a compact manifold whose boundary is a locally trivial fiber bundle and an associated pseudodifferential algebra that models fibered cusps at infinity. Using trace-like…
Complex powers and non-compact manifolds
Bernd Ammann, Robert Lauter, Victor Nistor +1
We study the complex powers of an elliptic, strictly positive pseudodifferential operator using an axiomatic method that combines the approaches of Guillemin and Seeley…
On the geometry of Riemannian manifolds with a Lie structure at infinity
Bernd Ammann, Robert Lauter, Victor Nistor
A manifold with a ``Lie structure at infinity'' is a non-compact manifold whose geometry is described by a compactification to a manifold with corners M and a Lie algebra of…
Spectral invariance for certain algebras of pseudodifferential operators
Robert Lauter, Bertrand Monthubert, Victor Nistor
We construct algebras of pseudodifferential operators on a continuous family groupoid G that are closed under holomorphic functional calculus, contain the algebra of all pseudodiff…
Analysis of geometric operators on open manifolds: A groupoid approach
Robert Lauter, Victor Nistor
We use algebras of pseudodifferential operators on groupoids to study geometric operators on non-compact manifolds and singular spaces. The first step is to establish that the geom…
Possibility of Sound Propagation in Vacuums with the Speed of Light
Robert Lauter
An important question of theoretical physics is whether sound is able to propagate in vacuums at all and if this is the case, then it must lead to the reinterpretation of one zero-…