On a Generalization of a Theorem of Wiener
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 279-284
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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
@article{10_4153_CMB_1972_050_4,
author = {Siddiqi, Jamil A.},
title = {On a {Generalization} of a {Theorem} of {Wiener}},
journal = {Canadian mathematical bulletin},
pages = {279--284},
year = {1972},
volume = {15},
number = {2},
doi = {10.4153/CMB-1972-050-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-050-4/}
}
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