Verifications on Dimensional Upper Bounds for a Dmissible Subgroups for the Metapletic Representation
We prove dimensional upper bounds for admissible Lie subgroups H of G = . The notation of admissibility captures natural geometric phenomena of the phase space and it is a sufficient condition for a subgroup to be reproducing . It is expressed in terms of absolutely convergent integrals of Wigner distributions , translated by the affine action of the subgroup . They showed that dim H , where as if H , then dim H ,  . Both bounds are shown to be optimal.
- There are currently no refbacks.