Square-integrability modulo a subgroup
Mathematical Physics
2007-05-23 v1 Functional Analysis
math.MP
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.
Cite
@article{arxiv.math-ph/0109033,
title = {Square-integrability modulo a subgroup},
author = {G. Cassinelli and E. De Vito},
journal= {arXiv preprint arXiv:math-ph/0109033},
year = {2007}
}
Comments
26 pages (Latex2e with amsmath package)