# Fractional Laplacian on the torus

In this paper we study the fractional Laplacian $(-\Delta)^{\sigma-2}$ on the $n$-dimensional torus $\Toron$, $n\geq1$. Our approach is based on the semigroup language. We obtain a pointwise integro-differential formula for $(-\Delta)^{\sigma-2}f(x)$, \$0

Author: L. Roncal; P. R. Stinga

Source: https://archive.org/