Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A homogeneous, globally solvable differential operator on a nilpotent Lie group which has no tempered fundamental solution

Author: Detlef Müller
Journal: Proc. Amer. Math. Soc. 121 (1994), 307-310
MSC: Primary 22E30; Secondary 22E25
MathSciNet review: 1179590
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We present an example of a homogeneous, left-invariant differential operator on the Heisenberg group $ {H_3}$ which admits fundamental solutions but no tempered ones. This answers a question raised by Corwin in the negative.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22E30, 22E25

Retrieve articles in all journals with MSC: 22E30, 22E25

Additional Information

Article copyright: © Copyright 1994 American Mathematical Society