Harmonic Analysis associated with a discrete Laplacian

Ó. Ciaurri, T. A. Gillespie, L. Roncal +2

It is well-known that the fundamental solution of $$u_t(n,t)=u(n+1,t)-2u(n,t)+u(n-1,t),n\in \mathbb{Z},$$ with $u(n,0)={\delta }_{nm}$ for every fixed $m\in \mathbb{Z}$, is given…