The spherical Radon transform on the unit sphere can be regarded as a member of the analytic family of suitably normalized generalized cosine transforms. We derive new formulas for these transforms and apply them to study classes of intersections bodies in convex geometry.
On the Determination of Star Bodies from Their Half-Sections
The Fourier Transform Approach to Inversion of lambda-Cosine and Funk Transforms on the Unit Sphere
About the almost everywhere convergence of the spectral expansions of functions from $L_1^\a(S^N)$
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