Geodesic
An Analog of Titchmarsh's Theorem for the Fourier--Walsh Transform
Matematičeskie zametki, Tome 103 (2018) no. 1, pp. 101-110

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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. 
@article{MZM_2018_103_1_a8,
     author = {S. S. Platonov},
     title = {An {Analog} of {Titchmarsh's} {Theorem} for the {Fourier--Walsh} {Transform}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {101--110},
     publisher = {mathdoc},
     volume = {103},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_1_a8/}
}
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S. S. Platonov. An Analog of Titchmarsh's Theorem for the Fourier--Walsh Transform. Matematičeskie zametki, Tome 103 (2018) no. 1, pp. 101-110. http://geodesic.mathdoc.fr/item/MZM_2018_103_1_a8/