Fredholm Groupoids and Layer Potentials on Conical Domains

2018/07/14 by Catarina Carvalho, Yu Qiao, Carvalho, Catarina +1
Mathematics · #Holomorphic and Operator Theory #Advanced Operator Algebra Research #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1807.05418

Abstract

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 to deal with many analysis problems on singular spaces in a unified treatment. As an application, we obtain Fredholm criteria for operators on layer potential groupoids.

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