On the kernel of the maximal flat Radon transform on symmetric spaces of compact type

Let M be a Riemannian globally symmetric space of compact type, M' its set of maximal flat totally geodesic tori, and \mathrm{ad}(M) its adjoint space. We show that the kernel of the maximal flat Radon transform \tau:L^2(M) \rightarrow L^2(M') is precisely the orthogonal complement of the image of the pullback... Show more