Fractional discrete Laplacian versus discretized fractional Laplacian

Ó. Ciaurri, L. Roncal, P. R. Stinga +2

We define and study some properties of the fractional powers of the discrete Laplacian $$(-{\Delta }_h{)}^s,on{\mathbb{Z}}_h=h\mathbb{Z},$$ for $h>0$ and $0<s<1$. A comparison b…