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Published online by Cambridge University Press: 28 October 2019
In this chapter we derive the sub-Riemannian heatequation and its relation to the notion of intrinsicvolume in sub-Riemannian geometry. We then discuss(without proof) the Hörmander theorem. In the lastpart of the chapter we present an elementary methodto compute the fundamental solution of the heatequation on the Heisenberg group (the celebratedGaveau–Hulanicki formula).
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