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Fundamental solutions of homogeneous elliptic differential operators

Brice Camus
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Abstract

We compute fundamental solutions of homogeneous elliptic differential operators, with constant coefficients, on $\mathbb{R}^n$ by mean of analytic continuation of distributions. The result obtained is valid in any dimension, for any degree and can be extended to pseudodifferential operators of the same type.

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Brice Camus. 2005-10-31. Fundamental solutions of homogeneous elliptic differential operators. https://doi.org/10.1016/j.bulsci.2005.12.001

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