AbstractThis paper introduces a new method for constructing fundamental solutions and parametrices for a class of second order subelliptic operators. The method is applied to obtain an explicit fundamental solution for the sublaplacian associated to the hypersurface lm z2= z12k ⊂ ℂ2. The fundamental solution is expressed as an integral over the characteristic variety of an expression whose denominator is a Hamiltonian action function and whose numerator solves an associated second order transport equat
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