Real forms of the Radon-Penrose transform (Q1840911)

The geometric background of the Radon-Penrose transformation, which intertwines cohomology classes of homogeneous line bundles with holomorphic solutions to the generalized massless field equations is that the complex Radon transformation relates an \(n\)-dimensional projective space with the Grassmann manifold of its \(p\)-dimensional (projective) planes. In this paper the authors widely apply adjunction formulas to obtain new results concerning the complex, conformal or real Radon transforms.