Italian Journal of Vascular and Endovascular Surgery. Vol. 25. 2018. P.. 199-202
Salem’s Conditions in the Nonperiodic Case
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. © 2018, Pleiades Publishing, Ltd.
Authors
Liflyand E.R. 1, 2
Journal
Publisher
Pleiades Publishing, Ltd.
Issue number
3-4
Language
English
Pages
437-442
State
Published
Link
Volume
104
Year
2018
Organizations
- 1 Bar-Ilan University, Ramat-Gan, 52900, Israel
- 2 Nikol’skii Institute of Mathematics, RUDN University, Moscow, 117198, Russian Federation
Keywords
discrete Hilbert transform; Fourier transform; modified Hilbert transform; trigonometric series; Wiener algebra
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