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On sections of convex bodies in hyperbolic space

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Publication:313526
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DOI10.1016/j.jmaa.2016.07.051zbMath1348.52007OpenAlexW2487691702MaRDI QIDQ313526

Mohammad Hasan, M. Dambrine

Publication date: 12 September 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.051

zbMATH Keywords

Fourier transformhyperbolic spaceBusemann-Petty problemconvex bodyorigin-symmetric body


Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55)


Related Items

Starshaped sets, Uniqueness results for bodies of constant width in the hyperbolic plane



Cites Work

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  • Generalized intersection bodies
  • Modified Shephard's problem on projections of convex bodies
  • A generalization of the Busemann-Petty problem on sections of convex bodies
  • Modified Busemann-Petty problem on sections of convex bodies
  • The complex Busemann-Petty problem on sections of convex bodies
  • The Busemann--Petty problem in hyperbolic and spherical spaces
  • The Busemann–Petty problem in the complex hyperbolic space
  • Fourier transforms and the Funk-Hecke theorem in convex geometry
  • Problems on convex bodies
  • On strict inclusions in hierarchies of convex bodies
  • Maximal sections and centrally symmetric bodies
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