Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms

Kaplan, Aroldo

doi:10.1090/S0002-9947-1980-0554324-X

Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms
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by Aroldo Kaplan

Trans. Amer. Math. Soc. 258 (1980), 147-153

DOI: https://doi.org/10.1090/S0002-9947-1980-0554324-X

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Abstract:

We introduce a class of nilpotent Lie groups which arise naturally from the notion of composition of quadratic forms, and show that their standard sublaplacians admit fundamental solutions analogous to that known for the Heisenberg group.

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Beweis des Satzes von Hurwitz-Radon

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