Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
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/
[1] W. H. Young, “On the Fourier series of bounded functions”, Proc. London Math. Soc.(2), 12 (1913), 41–70 | DOI | MR | Zbl
[2] S. Sidon, “Reihentheoretische Sätze und ihre Anwendungen in der Theorie der Fourierischen Reihen”, Math. Z., 10 (1921), 121–127 | DOI
[3] N. K. Bari, Trigonometricheskie ryady, Fizmatgiz, M., 1961 | MR
[4] A. Zygmund, Trigonometric Series, Vol. I, II, Cambridge Univ. Press, Cambridge, 1966 | MR
[5] O. I. Kuznetsova, “Ob odnom kratnom trigonometricheskom ryade”, Matem. zametki, 88:6 (2010), 950–952 | DOI | MR | Zbl
[6] A. O. Radomskii, “O neravenstve tipa Sidona dlya diskretnykh ortonormirovannykh sistem”, Matem. zametki, 101:4 (2017), 582–587 | DOI | MR | Zbl
[7] E. Liflyand, “Lebesgue constants of multiple Fourier series”, Online J. Anal. Comb., 1 (2006), Art. 5 | MR
[8] R. Salem, Essais sur les séries trigonométriques, Hermann et Cie, Paris, 1940 | MR
[9] D. Hilbert, “Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen”, Gött. Nachr., 1905 (1905), 307–338 | Zbl
[10] E. Liflyand, S. Samko, R. Trigub, “The Wiener algebra of absolutely convergent Fourier integrals: an overview”, Anal. Math. Phys., 2 (2012), 1–68 | DOI | MR | Zbl
[11] H. Kober, “A note on Hilbert transforms”, Quart. J. Math., Oxford Ser., 14 (1943), 49–54 | DOI | MR | Zbl
[12] J. B. Garnett, Bounded Analytic Functions, Grad. Texts in Math., 236, Springer, New York, 2007 | MR
[13] F. W. King, Hilbert Transforms, Vol. 1, 2, Cambridge Univ. Press, Cambridge, 2009 | MR | MR | Zbl
[14] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Clarendon Press, Oxford, 1937 | Zbl