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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
Fredholm Groupoids and Layer Potentials on Conical Domains
Catarina Carvalho, Yu Qiao
We show that layer potential groupoids for conical domains constructed in an earlier paper (Carvalho-Qiao, Central European J. Math., 2013) are Fredholm groupoids, which enables us…
math.OA2017
Fredholm conditions on non-compact manifolds: theory and examples
Catarina Carvalho, Victor Nistor, Yu Qiao
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…