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Matematicheskie Zametki, 2018, Volume 103, Issue 1, Pages 101–110
DOI: https://doi.org/10.4213/mzm11541 (Mi mzm11541) 		 
This article is cited in 5 scientific papers (total in 5 papers)

An Analog of Titchmarsh's Theorem for the Fourier–Walsh Transform

S. S. Platonov

Petrozavodsk State University
Full-text PDF (470 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11541
Abstract: Using the Fourier–Walsh transform on ${\mathbb R}_+=[0,+\infty)$, we prove a dyadic analog of the classical Titchmarsh theorem on the description of the image under the Fourier transformation of the set of functions satisfying the Lipschitz condition in $L^2$.
Keywords: Fourier–Walsh transform, Lipschitz conditions, dyadic harmonic analysis.
Received: 27.01.2017
Revised: 28.03.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 1, Pages 96–103
DOI: https://doi.org/10.1134/S000143461801011X
Bibliographic databases:
Document Type: Article
UDC: 517.44
Language: Russian
Citation: S. S. Platonov, “An Analog of Titchmarsh's Theorem for the Fourier–Walsh Transform”, Mat. Zametki, 103:1 (2018), 101–110; Math. Notes, 103:1 (2018), 96–103
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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