Abstract:Our project is to define Radon-type transforms in symplectic geometry. The
chosen framework consists of symplectic symmetric spaces whose canonical
connection is of Ricci-type. They can be considered as symplectic analogues of
the spaces of constant holomorphic curvature in K\"ahlerian Geometry. They are
characterized amongst a class of symplectic manifolds by the existence of many
totally geodesic symplectic submanifolds. We present a particular class of
Radon type tranforms, associating to a smooth compactly… Show more
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