Abstract
We discuss local solvability of operators of the form\(\sum\limits_{j,k = 1}^{2n} {a_{jk} V_j V_k + i\alpha U} \) where theVj are left-invariant vector fields on the Heisenberg group such that [Vj,Vj+n]=U for 1≤j≤n andA=(ajk)=A1+iA2 is a complex symmetric matrix satisfying the “cone condition” |A2|≤CA1.
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