On discrete groups of Euclidean isometries: representation theory, harmonic analysis and splitting properties
- 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.
| Author: | Bernd SchmidtGND, Martin Steinbach |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1096591 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/109659 |
| ISSN: | 1069-5869OPAC |
| ISSN: | 1531-5851OPAC |
| Parent Title (English): | Journal of Fourier Analysis and Applications |
| Publisher: | Springer Science and Business Media LLC |
| Type: | Article |
| Language: | English |
| Date of first Publication: | 2023/11/01 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/12/01 |
| Tag: | Analysis; Applied Mathematics; General Mathematics |
| Volume: | 29 |
| Issue: | 6 |
| First Page: | 70 |
| DOI: | https://doi.org/10.1007/s00041-023-10050-2 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung |
