On discrete groups of Euclidean isometries: representation theory, harmonic analysis and splitting properties
Group Theory
2021-07-21 v1 Classical Analysis and ODEs
Abstract
We study structural properties and the harmonic analysis of discrete subgroups of the Euclidean group. In particular, we 1. obtain an efficient description of their dual space, 2. develop Fourier analysis methods for periodic mappings on them, and 3. prove a Schur-Zassenhaus type splitting result.
Keywords
Cite
@article{arxiv.2107.09571,
title = {On discrete groups of Euclidean isometries: representation theory, harmonic analysis and splitting properties},
author = {Bernd Schmidt and Martin Steinbach},
journal= {arXiv preprint arXiv:2107.09571},
year = {2021}
}