The classical Poisson summation formula refers to a translation group with linearly independent generators in the -dimensional affine or euclidean space. In this paper a generalization of the Poisson formula is given which belongs to a general properly discontinuous group of affine transformations with compact fundamental domain.
Cite this article
Paul Günther, The Poisson formula for Euclidean space groups and some of its applications I. Z. Anal. Anwend. 1 (1982), no. 1, pp. 12–23DOI 10.4171/ZAA/2