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

2007/04/05 by Brice Camus, Camus, Brice
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #General Mathematics (math.GM) #math.AP #math.GM

paper · pdf · doi:10.48550/arxiv.0704.0801

15 pages, perhaps to be revised

arxiv created 2007/04/05 · arxiv updated 2009/12/01

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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