On Surjectivity of Invariant Differential Operators

Details On Surjectivity of Invariant Differential Operators On Surjectivity of Invariant Differential Operators

2010-06-11

arxiv.org/abs/1006.2276v1

Mathematics

Representation Theory

5 pages

Scientific paper

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.

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