Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms-Reference-Cited by-同舟云学术

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

Published:1980 Issue:1 Volume:258 Page:147-153
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kaplan Aroldo

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1980-258-01/S0002-9947-1980-0554324-X/S0002-9947-1980-0554324-X.pdf

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