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A renormalized Riesz potential and applications - Putinar (Correct)
....from its moments a( a # ( ##N n . This is in itself a fundamental problem, whose importance was well recognized by both mathematicians and their more applied customers. To illustrate the ubiquity of the Riesz potentials in reconstruction problems we reproduce (e.g. from Chapter II of [38]) the well known inversion formula for the Radon transform, see also [28] 29] If one defines the Radon transform of a function f by: f(x)dx, f # S(R and its adjoint by (R # g) x) g(#x, ##) g # S(R) ### = 1, then, for # n, f = cI # # I # n 1 5Rf, where c is a ....
Natterer, F., The Mathematics of Computerized Tomography, SIAM Classics in Applied Mathematics, Soc. Industrial and Appl. Math., Philadelphia, 2001.
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Natterer, F., The Mathematics of Computerized Tomography, John Wiley & Sons, 1986.
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