On a Finite Range Decomposition of the Resolvent of a Fractional Power of the Laplacian

P. K. Mitter

We prove the existence as well as regularity of a finite range decomposition for the resolvent $G_{\alpha }(x-y,m^2)=((-\Delta {)}^{\frac{\alpha }{2}}+m^2{)}^{-1}(x-y)$, for $0<\alpha <2$ and all real $m$…