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On a Generalization of a Theorem of Wiener

Published online by Cambridge University Press:  20 November 2018

Jamil A. Siddiqi
Jamil A. Siddiqi*
Affiliation:
Université de Sherbrooke, Sherbrooke, Québec
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 2 , June 1972 , pp. 279 - 284
Copyright
Copyright © Canadian Mathematical Society 1972

References

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