English

Fuglede's conjecture on orthogonal bases of exponentials

Classical Analysis and ODEs 2025-09-09 v1

Abstract

We discuss part of Fuglede's original paper (1974) in which he posed his famous conjecture on which bodies in Euclidean space admit an orthogonal basis of exponentials for their L2L^2 space.

Keywords

Cite

@article{arxiv.2509.05782,
  title  = {Fuglede's conjecture on orthogonal bases of exponentials},
  author = {Mihail N. Kolountzakis},
  journal= {arXiv preprint arXiv:2509.05782},
  year   = {2025}
}