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

Müller, Detlef

doi:10.1090/S0002-9939-1994-1179590-7

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

Proc. Amer. Math. Soc. 121 (1994), 307-310

DOI: https://doi.org/10.1090/S0002-9939-1994-1179590-7

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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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