The covariogram and Fourier–Laplace transform in ℂn

DOI10.1112/plms/pdw020zbMath1366.42009arXiv1312.7816OpenAlexW3124720773MaRDI QIDQ2827961

Gabriele Bianchi

Publication date: 24 October 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7816

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Zero sets of holomorphic functions of several complex variables (32A60)

Related Items (2)

The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes ⋮ Discrepancy for convex bodies with isolated flat points

Cites Work

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• MATHERON'S CONJECTURE FOR THE COVARIOGRAM PROBLEM
• Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms

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