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

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.

Identifiers

DOI

10.1090/s0002-9947-1980-0554324-x

Citations and references