Trigonometric Series, Second Edition¶
Zygmund, A. (1959). Trigonometric Series, Second Edition. Cambridge University Press.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Mechanisms¶
- Fourier-Basis Expansion
- A transient or a jump discontinuity has no compact frequency description, so its energy smears across the whole spectrum and a truncated expansion overshoots the edge — the Gibbs phenomenon
This sourceShows that truncated Fourier series overshoot near jump discontinuities and leave ripples that never fully vanish.
- A transient or a jump discontinuity has no compact frequency description, so its energy smears across the whole spectrum and a truncated expansion overshoots the edge — the Gibbs phenomenon
Verification¶
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Does it back the claim? Not recorded. The single citation of this work carries no recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
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Registry ID ref:3ac7cfa9fcd5 · see in the full table