ABSTRACT
Previously, we used the (pointwise) Euler summation formula corresponding to the Laplace operator to sum up values of a given function on a set of lattice points inside and on the boundary surface of a geoscientifically relevant regular region G ⊂ ℝ q https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315195674/823ed023-dd6c-41bb-a456-22174b64a780/content/imath19_1.tif"/> . The essential difficulty is the handling of the convergence scenario of the Fourier expansion for the lattice function. This problem will be attacked now by application of averaging processes.
