Geodesic
Salem's Conditions in the Nonperiodic Case
Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 447-453

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: Wiener algebra, trigonometric series, discrete Hilbert transform, modified Hilbert transform
Mots-clés : Fourier transform. 
@article{MZM_2018_104_3_a9,
     author = {E. R. Liflyand},
     title = {Salem's {Conditions} in the {Nonperiodic} {Case}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {447--453},
     publisher = {mathdoc},
     volume = {104},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a9/}
}
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E. R. Liflyand. Salem's Conditions in the Nonperiodic Case. Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 447-453. http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a9/