English

Expository article: "Bounded orthogonal systems and the $\Lambda(p)$-set problem'' by Jean Bourgain

Functional Analysis 2025-04-28 v1 Probability

Abstract

In this paper, we present an exposition of the work \cite{B} by Jean Bourgain, in which he resolved the well known conjecture posed by Rudin regarding the existence of Λ(p)\Lambda(p)-sets.

Cite

@article{arxiv.2504.18533,
  title  = {Expository article: "Bounded orthogonal systems and the $\Lambda(p)$-set problem'' by Jean Bourgain},
  author = {Hongki Jung and Bartosz Langowski and Alexander Ortiz and Truong Vu},
  journal= {arXiv preprint arXiv:2504.18533},
  year   = {2025}
}

Comments

50 pages

R2 v1 2026-06-28T23:11:41.567Z