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Distributional Extension and Invertibility of the \(\boldsymbol{k}\)-Plane Transform and Its Dual
We investigate the distributional extension of the k-plane transform in R d and of related operators.We parameterize the k-plane domain as the Cartesian product of the Stiefel manifold of orthonormal k-frames in R d with R d-k .This parameterization imposes an isotropy condition on the range of the k-plane transform …