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Matematicheskie Zametki, 2024, Volume 115, Issue 5, Pages 782–790
DOI: https://doi.org/10.4213/mzm14067 (Mi mzm14067) 		 
Massive Helson Sets

A. V. Ianina

Department of Mathematics, University of Illinois at Urbana-Champaign
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DOI: https://doi.org/10.4213/mzm14067
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.
Received: 07.06.2023
Published: 07.05.2024
English version:
Mathematical Notes, 2024, Volume 115, Issue 5, Pages 829–836
DOI: https://doi.org/10.1134/S0001434624050183
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 42A20
Language: Russian
Citation: A. V. Ianina, “Massive Helson Sets”, Mat. Zametki, 115:5 (2024), 782–790; Math. Notes, 115:5 (2024), 829–836
Citation in format AMSBIB
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\by A.~V.~Ianina
\paper Massive Helson Sets
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 5
\pages 782--790
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\crossref{https://doi.org/10.4213/mzm14067}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4774039}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 5
\pages 829--836
\crossref{https://doi.org/10.1134/S0001434624050183}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198632579}
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