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Commutative Systems of Covariance and a Generalization of Mackey's Imprimitivity Theorem

Published online by Cambridge University Press:  20 November 2018

S. Twareque Ali
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Abstract

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Two results are obtained in this paper. The first is a generalization of the imprimitivity theorem of Mackey, when the associated projection-valued measure is replaced by a commutative positive operator valued measure. The second is a necessary and sufficient condition for such a system of covariance to possess an overcomplete, covariant family of coherent states.

Keywords

28B1552A9922D30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 4 , 01 December 1984 , pp. 390 - 397
Copyright
Copyright © Canadian Mathematical Society 1984

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