For even bounded measurable g on the sphere with isotropic sections on great spheres perpendicular to open U, the cosine transform is affine and Funk transform constant on U, without g being constant a.e. in the perpendicular.
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Functions with isotropic sections
For even bounded measurable g on the sphere with isotropic sections on great spheres perpendicular to open U, the cosine transform is affine and Funk transform constant on U, without g being constant a.e. in the perpendicular.