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arXiv · 0704.0801

Fundamental solutions for a class of non-elliptic homogeneous differential operators

Brice Camus
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Abstract

We compute temperate fundamental solutions of homogeneous differential operators with real-principal type symbols. Via analytic continuation of meromorphic distributions, fundamental solutions for these non-elliptic operators can be constructed in terms of radial averages and invariant distributions on the unit sphere.

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Brice Camus. 2007-04-05. Fundamental solutions for a class of non-elliptic homogeneous differential operators. https://arxiv.org/abs/0704.0801

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