RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2024 Volume 115, Issue 5, Pages 782–790 (Mi mzm14067)
Massive Helson Sets

A. V. Ianina

Department of Mathematics, University of Illinois at Urbana-Champaign

Abstract: According to the Wik theorem, there exist massive Helson sets on the circle. In particular, they can be of Hausdorff dimension one. We extend Wik's result to the multidimensional case.

Keywords: absolutely convergent Fourier series, Helson set.

UDC: 517.51

MSC: 42A20

Received: 07.06.2023

DOI: 10.4213/mzm14067


 English version: Mathematical Notes, 2024, 115:5, 829–836

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025