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The fractional Laplacian: a primer

Published 29 Oct 2023 in math.AP | (2310.19118v1)

Abstract: In this note we give a glimpse of the fractional Laplacian. In particular, we bring several definitions of this non-local operator and series of proofs of its properties. It is structured in a way as to show that several of those properties are natural extensions of their local counterparts, with some key differences.

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