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An analog of Titchmarsh's theorem for the Fourier-Walsh transform

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Publication:1646342
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DOI10.1134/S000143461801011XzbMath1393.42005OpenAlexW2790329773WikidataQ130182623 ScholiaQ130182623MaRDI QIDQ1646342

Sergei S. Platonov

Publication date: 25 June 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461801011x


zbMATH Keywords

Lipschitz conditionsdyadic harmonic analysis


Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)


Related Items (3)

On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis ⋮ Characterising extended Lipschitz type conditions with moduli of continuity ⋮ An analog of the Titchmarsh's theorem for the first Hankel-Clifford transform




Cites Work

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  • Fourier transforms of Lipschitz functions on the hyperbolic plane \(H^2\)
  • An analog of Titchmarsh's Theorem for the Dunkl transform
  • Dyadic distributions
  • On an analogue of Hardy's inequality for the Walsh-Fourier
  • A dyadic analogue of Wiener's Tauberian theorem and some related questions




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