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
Recommended Citation
Estrada, R. (1996). Characterization of the fourier series of a distribution having a value at a point. Proceedings of the American Mathematical Society, 124 (4), 1205-1212. https://doi.org/10.1090/s0002-9939-96-03174-7
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