Square-integrability modulo a subgroup

Details Square-integrability modulo a subgroup Square-integrability modulo a subgroup

2001-09-28

arxiv.org/abs/math-ph/0109033v1

Physics

Mathematical Physics

26 pages (Latex2e with amsmath package)

Scientific paper

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.

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