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math.OA2019
Fredholm conditions for invariant operators: finite abelian groups and boundary value problems
Alexandre Baldare, Rémi Côme, Matthias Lesch +1
We answer the question of when an invariant pseudodifferential operator is Fredholm on a fixed, given isotypical component. More precisely, let be a compact group acting on a s…
math.OA2018
Gluing action groupoids: Fredholm conditions and layer potentials
Catarina Carvalho, Rémi Côme, Yu Qiao
This paper is a merge of arXiv:1807.05418 and arXiv:1808.01442. We introduce a new class of groupoids, called "boundary action groupoids", which are obtained by gluing reductions o…
math.OA2018
The Fredholm property for groupoids is a local property
Rémi Côme
Fredholm Lie groupoids were introduced by Carvalho, Nistor and Qiao as a tool for the study of partial differential equations on open manifolds. This article extends the definition…