Author:
De Mari Filippo,Nowak Krzysztof
Abstract
We consider two aspects of the action of the extended metaplectic representation of the groupGof affine, measure and orientation preserving maps of the time-frequency plane onL2functions on the line. On the one hand, we list, up to equivalence, all possible reproducing formulas that arise by restricting the representation to connected Lie subgroups ofG.On the other hand, we describe, in terms of Weyl calculus, the commutative von Neumann algebras generated by restriction to one-parameter subgroups.
Publisher
Cambridge University Press (CUP)
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