A geometric characterization of Poisson type distributions
Tempered distributions on Rn that have the Poisson structure are characterized in terms of geometry of its support and spectrum
math.CA↗
arXiv subjects
Victor P. Palamodov
Publications and source records attributed to Victor P. Palamodov.
On a non-elliptic attenuated geodesic transform
For a compact Riemannian surface with boundary we study attenuated geodesic transform of functions and differential forms. We generalize several known results on uniqueness and stability of this transform dropping condition of absence of conjugate points.
math.DG↗
A uniform reconstruction formula in integral geometry
A general method for analytic inversion in integral geometry is proposed. All classical and some new reconstruction formulas of Radon-John type are obtained by this method. No harmonic analysis and PDE is used.
math.DG↗