Fundamental solutions of homogeneous elliptic differential operators

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.

5 pages, perhaps to be revised

Cited by in corpus (3)

• Fundamental solutions for a class of non-elliptic homogeneous differential operators
• A structure theorem for fundamental solutions of analytic multipliers in ${\mathbb{R}}^n$
• L^p regularity of homogeneous elliptic differential operators with constant coefficients on R^N