METAPLECTIC OPERATORS ON C

The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), defined for a locally compact abelian group G. For G = R, H is the usual Heisenberg group. For the case when G is the finite cyclic group Zn, only partial constructions are known. Here we present new results for this case and we obtain an explicit construction of the metaplectic operators on C. We also include applications to Gabor frames.

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