JournalszaaVol. 1, No. 1pp. 12–23

The Poisson formula for Euclidean space groups and some of its applications I

  • Paul Günther

    Universität Leipzig, Germany
The Poisson formula for Euclidean space groups and some of its applications I cover

Abstract

The classical Poisson summation formula refers to a translation group with nn linearly independent generators in the nn-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. 12–23

DOI 10.4171/ZAA/2