On a Generalization of a Theorem of Wiener
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 279-284

Voir la notice de l'article provenant de la source Cambridge University Press

Let V[0, 2π] denote the class of all normalized functions F of bounded variation in [0, 2π] such that F(x) = 2-1{F(x+0)+F(x-0)} and F(x+2π)-F(x) = F(2π) — F(0) for all x and let {Cn} be the sequence of Fourier-Stieltjes coefficients of F. Wiener [9] (cf. Bari [1, p. 212], Zygmund [10, p. 108]) proved the following theorem.
Siddiqi, Jamil A. On a Generalization of a Theorem of Wiener. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 279-284. doi: 10.4153/CMB-1972-050-4
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