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The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
300
Zitationen
1
Autoren
1965
Jahr
Abstract
As proved by Radon [16] and John Let J(~o, p) denote the integral of / over the hyperplane <x, co> =p where r is a unit vector and <,> the inner product in R n. If A denotes the Laplacian on R n, do) the area element on the unit sphere S n-1 then (John [14], p. 13) J(x) =1(2~i)i-n (Ax)~(n-1)fs. J(~, <eo, x))dw, (n odd);
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