Geodesic
On the Lebesgue constants of some classes of almost periodic functions
Sbornik. Mathematics, Tome 25 (1975) no. 4, pp. 595-604 
E. A. Bredikhina. On the Lebesgue constants of some classes of almost periodic functions. Sbornik. Mathematics, Tome 25 (1975) no. 4, pp. 595-604. http://geodesic.mathdoc.fr/item/SM_1975_25_4_a9/
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     title = {On~the {Lebesgue} constants of some classes of almost periodic functions},
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     volume = {25},
     number = {4},
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     url = {http://geodesic.mathdoc.fr/item/SM_1975_25_4_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is a study of the behavior of the Lebesgue constants of almost periodic functions of the classes $G(H)$ for which the characterizing property $H$ is a specified spacing for the spectra of the functions belonging to the class. Here $G(H)$ denotes the class of a.p. functions $f(x)$ which have the characterizing property $H$, satisfy the inequality $\sup_{-\infty, and whose Fourier exponents have a unique limit point $\Lambda^*=\infty$ or $\Lambda^*=0$. Bibliography: 8 titles.

[1] N. K. Bari, Trigonometricheskie ryady, Fizmatgiz, Moskva, 1961 | MR

[2] B. M. Levitan, Pochti periodicheskie funktsii, Gostekhizdat, Moskva, 1953

[3] V. F. Gaposhkin, “Lakunarnye ryady i nezavisimye funktsii”, Uspekhi matem. nauk, XXI:6(132) (1966), 3–82

[4] S. B. Stechkin, “Ob absolyutnoi skhodimosti ryadov Fure, III”, Izv. AN SSSR, seriya matem., 20 (1956), 385–412 | Zbl

[5] E. A. Bredikhina, “O skhodimosti ryadov Fure pochti periodicheskikh funktsii Stepanova”, Uspekhi matem. nauk, XIX:6(120) (1969), 133–137

[6] E. A. Bredikhina, “O priblizheniii pochti periodicheskikh funktsii s ogranichennym spektrom”, Matem. sb., 56(98) (1962), 59–76 | Zbl

[7] E. A. Bredikhina, “O norme operatora Akhiezera-Levitana v prostranstve ravnomernykh pochti periodicheskikh funktsii”, Izv. VUZ'ov, Matematika, 1966, no. 2(51), 32–36 | Zbl

[8] E. A. Bredikhina, “O priblizhenii pochti periodicheskikh funktsii Stepanova”, DAN SSSR, 164:2 (1965), 255–258 | Zbl