Title

Characterization of the fourier series of a distribution having a value at a point

Document Type

Article

Publication Date

1-1-1996

Abstract

Let f be a periodic distribution of period 2π. Let ∑∞n=-∞aneinθ be its Fourier series. We show that the distributional point value f(θ0) exists and equals γ if and only if the partial sums ∑-x≤n≤ax einθ0 converge to γ in the Cesàro sense as x → ∞ for each a > 0. © 1996 American Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the American Mathematical Society

First Page

1205

Last Page

1212

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