Radon transformation on reductive symmetric spaces: support theorems

Details Radon transformation on reductive symmetric spaces: support theorems Radon transformation on reductive symmetric spaces: support theorems

2010-11-26

arxiv.org/abs/1011.5780v2

Mathematics

Representation Theory

LaTeX2e, 68 pages, 2 figures

Scientific paper

We introduce a class of Radon transforms for reductive symmetric spaces,
including the horospherical transforms, and study some of their properties. In
particular we obtain a generalization of Helgason's support theorem for the
horospherical transform on a Riemannian symmetric space.

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