Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature. II.
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We prove that on a product of generalized Heisenberg groups, a Hörmander type multiplier theorem for Rockland operators is true with the critical index n/2 + ϵ, ϵ>0, where n is the euclidean (topological) dimension of the group.
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