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

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.

15 pages, perhaps to be revised

References in corpus (1)

• Fundamental solutions of homogeneous elliptic differential operators