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math.DG2026
Operations on constructible functions and generalized valuations
Andreas Bernig, Vadim Lebovici
Alesker's theory of generalized valuations unifies smooth measures and constructible functions on real analytic manifolds, extending classical operations on functions and measures.…
math.DG2019★ 1 cited
Reconstruction of piecewise constant functions from X-ray data
Vadim Lebovici
We show that on a two-dimensional compact nontrapping Riemannian manifold with strictly convex boundary, a piecewise constant function can be recovered from its integrals over geod…