Below is the ascii version of the abstract for 07-148. The html version should be ready soon.

Roman Werpachowski
On the solutions of generalized discrete Poisson equation
(188K, PDF)

ABSTRACT.  The set of common numerical and analytical problems is introduced in the form of the \emph{generalized multidimensional discrete Poisson equation}. It is shown that its solutions with square-summable discrete derivatives are unique up to a constant. The proof uses the Fourier transform as the main tool. The necessary condition for the existence of the solution is provided.