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- W2135653669 abstract "We present direct, group-theoretic proofs of the range theorem for the Radon d-plane transform / —► / on ?^(R). (The original proof, by Richter, involves extensive use of local coordinate calculations on G(d, n), the Grassmann manifold of affine a-planes in R .) We show that moment conditions are not sufficient to describe this range when d <n- , in contrast to the compactly supported case. Finally, we show that the dual rf-plane transform maps g(G{d,n)) surjectively onto f (R)." @default.
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- W2135653669 date "1991-02-01" @default.
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- W2135653669 title "On the range of the Radon $d$-plane transform and its dual" @default.
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- W2135653669 doi "https://doi.org/10.1090/s0002-9947-1991-1025754-4" @default.
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