Higher index theorems and the boundary map in cyclic cohomology.
Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras.
On spectra of geometric operators on open manifolds and differentiable groupoids.
Pseudodifferential analysis on continuous family groupoids.
Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains.
On the geometry of Riemannian manifolds with a Lie structure at infinity.
Algebras of pseudodifferential operators on complete manifolds.
Cyclic cohomology of crossed products by algebraic.
Boundary value problems and layer potentials on manifolds with cylindrical ends
We study the method of layer potentials for manifolds with boundary and cylindrical ends. The fact that the boundary is non-compact prevents us from using the standard characterization of Fredholm or compact pseudo-differential operators between Sobolev spaces, as, for example, in the works of Fabes-Jodeit-Lewis and Kral-Wedland . We first study the layer potentials depending on a parameter on compact manifolds. This then yields the invertibility of the relevant boundary integral operators in the...
Editors’ preface for the topical issue “Advances in Numerical Analysis and Numerical Linear Algebra”
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