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math.FA2017★ 2 cited
Exact inversion of Funk-Radon transforms with non-algebraic geometries
Victor Palamodov
Any even function defined on 2-sphere is reconstructed from its integrals over big circles by means of the classical Funk formula. For the non-geodesic Funk transform on the sphere…
math-ph2017
Algebraic symplectic reduction and quantization of singular spaces
Victor Palamodov
The algebraic method of singular reduction is applied for non regular group action on manifolds which provides singular symplectic spaces. The problem of deformation quantization o…