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math.FA2012★ 1 cited
Crystallographic and geodesic Radon transforms on SO(3): motivation, generalization, discretization
Swanhild Bernstein, Isaac Z. Pesenson
In this paper we consider the so-called crystallographic Radon transform (or crystallographic -ray transform) and totally geodesic Radon transform on the group of rotations SO(3…
math.FA2012
Diffusive wavelets on the Spin group
Swanhild Bernstein, Svend Ebert, Franciscus Sommen
The first part of this article is devoted to a brief review of the results about representation theory of the spin group Spin(m) from the point of view of Clifford analysis. In the…