paper

Square-integrability modulo a subgroup

arXiv:math-ph/0109033

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.

26 pages (Latex2e with amsmath package)

Square-integrability modulo a subgroup · wovepaper