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math-ph2020
Reconstruction of polytopes from the modulus of the Fourier transform with small wave length
Konrad Engel, Bastian Laasch
Let be an -dimensional convex polytope and be a hypersurface in . This paper investigates potentials to reconstruct or at…
math.MG2020★ 1 cited
The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes
Konrad Engel, Bastian Laasch
Let and be -dimensional convex polytopes in and be a non-empty intersection of an open set with a sphere.…
math.CA2020
An identity theorem for the Fourier transform of polytopes on rationally parameterisable hypersurfaces
Konrad Engel
A set of points in is called a rationally parameterisable hypersurface if , where $\boldsym…