On the Range of the Radon d-Plane Transform and Its Dual

We present direct, group-theoretic proofs of the range theorem for the Radon d-plane transform f → f̂ on Y(Rn). (The original proof, by Richter, involves extensive use of local coordinate calculations on G(d, n), the Grassmann manifold of affine d-planes in Rn.) We show that moment conditions are no...

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Veröffentlicht in:	Transactions of the American Mathematical Society 1991-10, Vol.327 (2), p.601-619
1. Verfasser:	Gonzalez, Fulton B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Coordinate systems Decreasing functions Differential operators Fourier transformations Mathematical functions Mathematical manifolds Mathematical theorems Radon Range of function
Online-Zugang:	Volltext
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