23-38 Serena Dipierro, Jack Thompson, and Enrico Valdinoci
Some nonlocal formulas inspired by an identity of James Simons (472K, pdf) Jun 22, 23
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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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