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arXiv · 2306.15179

Some nonlocal formulas inspired by an identity of James Simon

Serena Dipierro·Jack Thompson·Enrico Valdinoci
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Abstract

Inspired by a classical identity proved by James Simons, we establish a new geometric formula in a nonlocal, possibly fractional, setting. Our formula also recovers the classical case in the limit, thus providing an approach to Simons' work that does not heavily rely on differential geometry.

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Serena Dipierro, Jack Thompson, Enrico Valdinoci. 2023-06-27. Some nonlocal formulas inspired by an identity of James Simon. https://arxiv.org/abs/2306.15179

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