Abstract
Let be a real basis for the Heisenberg Lie algebra . In this paper, we calculate the explicit kernels of the Riesz transforms on the Heisenberg group Hn . Here is the sub-Laplacian operator. We show that for j = 1,2, … 2n where Rj 's are the regular Riesz transforms on . We also construct the “missing transform” such that in analogy of the classical result .
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