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Matematicheskie Zametki, 2003, Volume 74, Issue 2, Pages 242–256
DOI: https://doi.org/10.4213/mzm261 (Mi mzm261) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a Result of Telyakovskii and Multiple Hilbert Transforms with Polynomial Phases

K. I. Oskolkov

University of South Carolina
Full-text PDF (244 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm261
Abstract: In this paper, we prove a multiple analog of the theorem proved by Arkhipov and the author in 1987, which provides an estimate for the discrete Hilbert transform with polynomial phase. For the linear case, the corresponding estimates of the sum of multiple trigonometric series was proved by Telyakovskii.
Received: 29.01.2003
English version:
Mathematical Notes, 2003, Volume 74, Issue 2, Pages 232–244
DOI: https://doi.org/10.1023/A:1025008308955
Bibliographic databases:
UDC: 517
Language: Russian
Citation: K. I. Oskolkov, “On a Result of Telyakovskii and Multiple Hilbert Transforms with Polynomial Phases”, Mat. Zametki, 74:2 (2003), 242–256; Math. Notes, 74:2 (2003), 232–244
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm261
  • https://doi.org/10.4213/mzm261
  • https://www.mathnet.ru/eng/mzm/v74/i2/p242
    • This publication is cited in the following 2 articles:
    1. Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick, Springer Proceedings in Mathematics & Statistics, 25, Recent Advances in Harmonic Analysis and Applications, 2012, 3  crossref
    2. K. I. Oskolkov, “The Series ∑∑e2πimnxmn and a Problem of Chowla”, Proc. Steklov Inst. Math., 248 (2005), 197–215  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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