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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.FA2005★ 1 cited
Relaxed Gabor expansion at critical density and a `certainty principle'
V. P. Palamodov
A version of Gabor expansion over a lattice of critical density is shown to converge to an arbitrary function that belongs to domain of the oscillator operator. This expansion is u…