Square-integrability modulo a subgroup
Abstract
A new proof of Imprimitivity theorem for transitive systems of covariance is given and a definition of square-integrable representation modulo a subgroup is proposed. This clarifies the relation between coherent states, wavelet transforms and covariant localisation observables.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2001
- DOI:
- 10.48550/arXiv.math-ph/0109033
- arXiv:
- arXiv:math-ph/0109033
- Bibcode:
- 2001math.ph...9033C
- Keywords:
-
- Mathematical Physics;
- Functional Analysis;
- 43A32;
- 43A85;
- 42C40
- E-Print:
- 26 pages (Latex2e with amsmath package)