On the Funk transform on compact symmetric spaces

Details On the Funk transform on compact symmetric spaces On the Funk transform on compact symmetric spaces

2009-03-27

arxiv.org/abs/0903.4754v1

Mathematics

Differential Geometry

8 pages

Scientific paper

We prove that a function on an irreducible compact symmetric space M, which
is not a sphere, is determined by its integrals over the shortest closed
geodesics in M. We also prove a support theorem for the Funk transform on rank
one symmetric spaces which are not spheres.

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