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arxiv: 1806.01113 · v1 · pith:HQF7QJQZnew · submitted 2018-06-04 · 🧮 math.FA · math.OA

Fredholm Property of Non-Smooth Pseudodifferential Operators

classification 🧮 math.FA math.OA
keywords fredholmnon-smoothpropertypseudodifferentialconditionsingredientmainolder
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In this paper we prove sufficient conditions for the Fredholm property of a non-smooth pseudodifferential operator $P$ which symbol is in a H\"older space with respect to the spatial variable. As a main ingredient for the proof we use a suitable symbol-smoothing.

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