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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…
math-ph2014
A. Cormack's last inversion formula and a FBP reconstruction
Victor Palamodov
A reconstruction of a function from integrals over the family of confocal paraboloids is given by a FBP formula.
math-ph2014★ 13 cited
Time reversal in photoacoustic tomography and levitation in a cavity
Victor Palamodov
A class of photoacoustic acquisition geometries in n-space is considered such that the spherical mean transform admits an exact filtered back projection reconstruction formula. The…