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All functions are locally s-harmonic up to a small error

Abstract

We show that we can approximate locally every function with a fractional harmonic function in that vanishes outside a compact set. This result is clearly in contrast with the rigidity of harmonic functions in the classical case and can be viewed as a purely nonlocal feature

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Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

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Last time updated on 17/08/2021

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