An iterative method for the solution of Laplace-like equations in high and very high space dimensions

This paper deals with the equation $-Δu+μu=f$ on high-dimensional spaces $\mathbb{R}^m$, where the right-hand side $f(x)=F(Tx)$ is composed of a separable function $F$ with an integrable Fourier transform on a space of a dimension $n>m$ and a linear mapping given by a matrix $T$ of full rank and $μ\