  We are using the finite-gap approach for the construction of the
Schr\"{o}dinger operator discretization on a quad graph. The latter is
represented by a two-dimensional integer sublattice in a $d$-dimensional space.
The Green's function of the operator can be posed explicitly as an integral of
the differential built by the spectral data, calculated on contours of the
special form. We also know the the asymptotics of the achieved function.
