English

Busemann-Petty type problems on complex vector spaces

Metric Geometry 2024-04-24 v3 Functional Analysis

Abstract

Busemann-Petty type problems for the recently introduced complex projection, centroid and LpL_p-intersection body operators are examined. Moreover, it is shown that, as their real counterparts, they can be linked to the spherical Fourier transform.

Cite

@article{arxiv.2404.05630,
  title  = {Busemann-Petty type problems on complex vector spaces},
  author = {Simon Ellmeyer and Georg C. Hofstätter},
  journal= {arXiv preprint arXiv:2404.05630},
  year   = {2024}
}

Comments

For further discussion and reported errors see https://mathoverflow.net/q/469798/526813

R2 v1 2026-06-28T15:47:42.965Z