arXiv:1011.5780 Abstract | arXiv Analytics

arXiv:1011.5780 [math.RT]Abstract References Reviews Resources

Radon transformation on reductive symmetric spaces: support theorems

Published 2010-11-26, updated 2013-04-03Version 3

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 support theorem that generalizes Helgason's support theorem for the horospherical transform on a Riemannian symmetric space.

Comments: LaTeX2e, 55 pages, 2 figures

Categories: math.RT

Subjects: 22E30

Keywords: reductive symmetric spaces, radon transformation, generalizes helgasons support theorem, riemannian symmetric space, horospherical transform

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