The metaplectic representation describes a class of automorphisms of the Heisenberg group H = H(G), defined for a locally compact abelian groupG. ForG = 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 ...

We investigate the boundary value problem for biharmonic operators on Heisenberg group. The inherent features of Hn make it an appropriate environment studying symmetry rules and interaction analysis geometry with manifolds. goal this paper is to prove that a weak solution operator group exists. Our key tools are version Mountain Pass Theorem classical variational theory. This will be interest ...