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Square-integrability modulo a subgroup

G. Cassinelli, E. De Vito

math-pharXiv: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.

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