Before revision:  Finally  we present two numerical examples to illustrate some practical application: the space-time evaluation of the fundamental solution of  linear 1D Schr\"odinger equation where we compare our method with the one based on \ell^1-norm minimization ;
After revision:  Finally we present two numerical examples to illustrate some practical applications. The first concerns the fundamental solution of linear 1D Schr\"odinger equation where we compare our method with the one based on \ell^1-norm minimization ;