Email this article Salem’s Conditions in the Nonperiodic Case
- Authors: Liflyand E.R.1,2
-
Affiliations:
- Bar-Ilan University
- Nikol’skii Institute of Mathematics
- Issue: Vol 104, No 3-4 (2018)
- Pages: 437-442
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151353
- DOI: https://doi.org/10.1134/S0001434618090110
- ID: 151353
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Abstract
Salem’s necessary conditions for a trigonometric series to be the Fourier series of an integrable function are generalized to the nonperiodic case for functions in the Wiener algebra. Applications of the obtained result are given.
About the authors
E. R. Liflyand
Bar-Ilan University; Nikol’skii Institute of Mathematics
Author for correspondence.
Email: liflyand@gmail.com
Israel, Ramat-Gan, 52900; Moscow, 117198
