Roman Werpachowski
On the solutions of generalized discrete Poisson equation
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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.