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Fredholm Groupoids and Layer Potentials on Conical Domains

Published 14 Jul 2018 in math.OA, math.AP, and math.FA | (1807.05418v1)

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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