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The generalized Busemann-Petty problem with weights

Functional Analysis 2007-05-23 v1

Abstract

The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies with lower-dimensional smaller sections necessarily have smaller volume. We study the weighted version of this problem corresponding to the physical situation when bodies are endowed with mass distribution and the relevant sections are measured with attenuation.

Keywords

Cite

@article{arxiv.math/0505665,
  title  = {The generalized Busemann-Petty problem with weights},
  author = {Rubin Boris},
  journal= {arXiv preprint arXiv:math/0505665},
  year   = {2007}
}

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12 pages