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Proceedings of the American Mathematical Society
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
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1179590-7
PII: S 0002-9939(1994)1179590-7
Article copyright: © Copyright 1994 American Mathematical Society