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METAPLECTIC OPERATORS ON C n

By Hans G. Feichtinger

Abstract

The metaplectic representation describes a class of automorphisms of the Heisenberg group H = H (G), defined for a locally compact abelian group G.ForG = R d, 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 n. We also include applications to Gabor frames. 1

Year: 2006
OAI identifier: oai:CiteSeerX.psu:10.1.1.187.4398
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