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We consider the problem of approximately reconstructing a function f defined on the surface of the unit sphere in the Euclidean space R q+1 , using samples of f at scattered sites. A central role is played by the construction of a new operator for polynomial approximation , which is a uniformly bounded quasi–projection in the de la Vallée Poussin style,… (More)

In this paper, we show the possibility of recovering a sum of Dirac measures on the rotation group SO(3) from its low degree moments with respect to Wigner D-functions only. The main Theorem of the paper, Theorem 1, states, that exact recovery from moments up to degree N is possible, if the support set of the measure obeys a separation distance of 36 N +1.… (More)

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