Almost periodic functions on the rotation group.

• Main Author: Henniger, James. P.
• Other Authors: Schwerdtfeger, H. (Supervisor)
• Format: Others
• Language: en
• Published: McGill University 1962
• Subjects: Mathematics.
• Online Access: http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113667

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.