Email this article An Analog of Titchmarsh’s Theorem for the Fourier–Walsh Transform
- Authors: Platonov S.S.1
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Affiliations:
- Petrozavodsk State University
- Issue: Vol 103, No 1-2 (2018)
- Pages: 96-103
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150533
- DOI: https://doi.org/10.1134/S000143461801011X
- ID: 150533
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Abstract
Using the Fourier–Walsh transform on ℝ+ = [0,+∞), 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 L2.
About the authors
S. S. Platonov
Petrozavodsk State University
Author for correspondence.
Email: platonov@psu.karelia.ru
Russian Federation, Petrozavodsk
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