Hilbert transform

integral transform and linear operator that takes a function of a real variable and produces another function of a real variable with a 90 degree phase shift
Thing integral_transform Q685437
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Hilbert transform

Summary

Hilbert transform is an integral transform[1]. It draws 414 Wikipedia views per month (integral_transform category, ranking #3 of 16).[2]

Key Facts

  • Hilbert transform's instance of is recorded as integral transform[3].
  • David Hilbert is named after Hilbert transform[4].
  • Hilbert transform's Library of Congress authority ID is recorded as sh95003535[5].
  • Hilbert transform's Bibliothèque nationale de France ID is recorded as 144568572[6].
  • Hilbert transform's Commons category is recorded as Hilbert transform[7].
  • Hilbert transform's BNCF Thesaurus ID is recorded as 45337[8].
  • Hilbert transform's Freebase ID is recorded as /m/02rhxt[9].
  • Hilbert transform's defining formula is recorded as \operatorname {H} (u)(t)={\frac {1}{\pi }}\,\operatorname {p.v.} \int _{-\infty }^{+\infty }{\frac {u(\tau )}{t-\tau }}\,\mathrm {d} \tau[10].
  • Hilbert transform's MathWorld ID is recorded as TitchmarshTheorem[11].
  • Hilbert transform's MathWorld ID is recorded as HilbertTransform[12].
  • Hilbert transform's Quora topic ID is recorded as Hilbert-Transform[13].
  • Hilbert transform's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Hilbert transform's Microsoft Academic ID is recorded as 28799612[15].
  • Hilbert transform's in defining formula is recorded as \operatorname{p.v.}[16].
  • Hilbert transform's in defining formula is recorded as \operatorname H[17].
  • Hilbert transform's in defining formula is recorded as \pi[18].
  • Hilbert transform's National Library of Israel J9U ID is recorded as 987007546883305171[19].
  • Hilbert transform's OpenAlex ID is recorded as C28799612[20].
  • Hilbert transform's Encyclopedia of China is recorded as 67275[21].
  • Hilbert transform's Yale LUX ID is recorded as concept/aea2385c-df04-4a47-9059-dbb47caeeee9[22].

Why It Matters

Hilbert transform draws 414 Wikipedia views per month (integral_transform category, ranking #3 of 16).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[23]

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] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  4. [6] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Nuovo soggettario. wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Quora. wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . National Library of Israel. wikidata.org.
  18. [20] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] . Wikidata sitelinks. 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). Hilbert transform. Retrieved May 3, 2026, from https://4ort.xyz/entity/hilbert-transform
MLA “Hilbert transform.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hilbert-transform.
BibTeX @misc{4ortxyz_hilbert-transform_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hilbert transform}}, year = {2026}, url = {https://4ort.xyz/entity/hilbert-transform}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hilbert transform — https://4ort.xyz/entity/hilbert-transform (retrieved 2026-05-03)

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