Almost periodic functions on the rotation group.
The aim of this thesis is to exhibit the bounded representations of the rotation group, Ωn, by considering the almost periodic functions on Ωn. By Ωn is meant the rotation group in Rn, or more explicitly the group of all proper orthogonal n-matrices where n >= 3. The case n = 3 will be given spec...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en |
| Published: |
McGill University
1962
|
| Subjects: | |
| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113667 |
| Summary: | The aim of this thesis is to exhibit the bounded representations of the rotation group, Ωn, by considering the almost periodic functions on Ωn. By Ωn is meant the rotation group in Rn, or more explicitly the group of all proper orthogonal n-matrices where n >= 3. The case n = 3 will be given specific consideration. The presentation can be divided roughly into three parts. The first part is a brief description of the theory of almost periodic functions on an arbitrary group, as first developed by von Neumann. |
|---|