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.
Helgason, The Radon transform on Euclidean spaces, c ompact two-point homogeneous spaces and Grassmann manifolds, Acta Math
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.