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PreprintCC BY-SA 4.0arXiv

The Table Problem for Convex Domains

  • Ali Naseri Sadr
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Abstract

We prove a generalized Table Theorem for bounded convex domains in the plane. Then we prove a variation of the Table Problem for compactly supported functions on the plane. Our method is based on relating the table problem on a surface to the square peg problem for a configuration of star-shaped curves in the tangent bundle of the surface.

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Cite

BibTeXRIS
BibTeX
@misc{sadr2026table,
  title = {{The Table Problem for Convex Domains}},
  author = {Ali Naseri Sadr},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41010},
  eprint = {2610.41010},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41010},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - The Table Problem for Convex Domains
AU  - Ali Naseri Sadr
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.41010
UR  - https://arxiv.org/abs/2610.41010
AB  - We prove a generalized Table Theorem for bounded convex domains in the plane. Then we prove a variation of the Table Problem for compactly supported functions on the plane. Our method is based on relating the table problem on a surface to the square peg problem for a configuration of star-shaped curves in the tangent bundle of the surface.
ER  -