On Surjectivity of Invariant Differential Operators
Representation Theory
2010-06-14 v1 Analysis of PDEs
Abstract
By proving a topological Paley-Wiener Theorem for Riemannian symmetric spaces of non-compact type, we show that a non-zero invariant differential operator is a homeomorphism from the space of test functions onto its image and hence surjective when extended to the space of distributions.
Cite
@article{arxiv.1006.2276,
title = {On Surjectivity of Invariant Differential Operators},
author = {Thomas Hjortgaard Danielsen},
journal= {arXiv preprint arXiv:1006.2276},
year = {2010}
}
Comments
5 pages