Riemann–Lebesgue lemma

lemma that the Fourier transform of an L¹ function vanishes at infinity
Intangible theorem Q9363284
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Riemann–Lebesgue lemma

Summary

Riemann–Lebesgue lemma is a theorem[1]. It draws 116 Wikipedia views per month (theorem category, ranking #164 of 1,306).[2]

Key Facts

  • Riemann–Lebesgue lemma's instance of is recorded as theorem[3].
  • Riemann–Lebesgue lemma's instance of is recorded as lemma[4].
  • Riemann–Lebesgue lemma's Freebase ID is recorded as /m/053cbs[5].
  • Riemann–Lebesgue lemma's defining formula is recorded as \lim_{|z|\to\infty}\int_{\mathbb R^d}f(x)\exp(-\mathrm iz\cdot x)\,\mathrm dx=0[6].
  • Riemann–Lebesgue lemma's MathWorld ID is recorded as Riemann-LebesgueLemma[7].
  • Riemann–Lebesgue lemma's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Riemann–Lebesgue lemma's Microsoft Academic ID is recorded as 161881434[9].
  • Riemann–Lebesgue lemma's in defining formula is recorded as f[10].
  • Riemann–Lebesgue lemma's Digital Library of Mathematical Functions ID is recorded as 1.8.E10[11].

Why It Matters

Riemann–Lebesgue lemma draws 116 Wikipedia views per month (theorem category, ranking #164 of 1,306).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[12] It is known by 5 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Riemann–Lebesgue lemma. Retrieved May 3, 2026, from https://4ort.xyz/entity/riemann-lebesgue-lemma
MLA “Riemann–Lebesgue lemma.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/riemann-lebesgue-lemma.
BibTeX @misc{4ortxyz_riemann-lebesgue-lemma_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Riemann–Lebesgue lemma}}, year = {2026}, url = {https://4ort.xyz/entity/riemann-lebesgue-lemma}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Riemann–Lebesgue lemma — https://4ort.xyz/entity/riemann-lebesgue-lemma (retrieved 2026-05-03)

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