pseudo-differential operator

operator on functions, defined by the composition of Fourier transformation, multiplication with a certain smooth function of both position and momentum, and inverse Fourier transformation
Thing general Q1644451
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pseudo-differential operator

Summary

pseudo-differential operator ranks in the top 2% of general entities by monthly Wikipedia readership (51 views/month).[1]

Key Facts

  • pseudo-differential operator's GND ID is recorded as 4047640-6[2].
  • pseudo-differential operator's Library of Congress authority ID is recorded as sh85108264[3].
  • pseudo-differential operator's Bibliothèque nationale de France ID is recorded as 12131130p[4].
  • pseudo-differential operator's subclass of is recorded as linear map[5].
  • pseudo-differential operator's BNCF Thesaurus ID is recorded as 25022[6].
  • pseudo-differential operator's Freebase ID is recorded as /m/03vq8c[7].
  • pseudo-differential operator's Dewey Decimal Classification is recorded as 515.7242[8].
  • pseudo-differential operator's Stack Exchange tag is recorded as https://mathoverflow.net/tags/pseudo-differential-operators[9].
  • pseudo-differential operator's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/pseudo-differential-operators[10].
  • pseudo-differential operator's short name is recorded as {'lang': 'en', 'text': 'ΨDO'}[11].
  • pseudo-differential operator's short name is recorded as {'lang': 'es', 'text': 'OΨD'}[12].
  • pseudo-differential operator's short name is recorded as {'lang': 'fr', 'text': 'OΨD'}[13].
  • pseudo-differential operator's short name is recorded as {'lang': 'ru', 'text': 'ПДО'}[14].
  • pseudo-differential operator's defining formula is recorded as P(x,D)u(x)=\frac1{(2\pi )^n}\int_{\mathbb R^n}\exp(\mathrm ix\cdot \xi)P(x,\xi)\hat u(\xi)\,\mathrm d\xi[15].
  • pseudo-differential operator's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • pseudo-differential operator's Microsoft Academic ID is recorded as 15460668[17].
  • pseudo-differential operator's National Library of Israel J9U ID is recorded as 987007545999705171[18].
  • pseudo-differential operator's OpenAlex ID is recorded as C15460668[19].
  • pseudo-differential operator's OpenAlex ID is recorded as C3020036199[20].
  • pseudo-differential operator's ScienceDirect topic ID is recorded as mathematics/pseudodifferential-operator[21].
  • pseudo-differential operator's Yale LUX ID is recorded as concept/f9b80a70-a4b1-4b82-8a3a-8926ef3f9ab5[22].

Why It Matters

pseudo-differential operator ranks in the top 2% of general entities by monthly Wikipedia readership (51 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[23] It is known by 8 alternative names across languages and contexts.[24]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  3. [4] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . Freebase Data Dumps. wikidata.org.
  7. [8] . Integrated Authority File. Retrieved . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . mat.uc.cl. mat.uc.cl. Provenance: wikidata.org.
  12. [13] . archives.umc.edu.dz. archives.umc.edu.dz. Provenance: wikidata.org.
  13. [14] . old.math.nsc.ru. old.math.nsc.ru. Provenance: wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . National Library of Israel Names and Subjects Authority File. wikidata.org.
  18. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  19. [20] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] . Wikidata sitelinks. wikidata.org.
  3. [24] . 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). pseudo-differential operator. Retrieved April 10, 2026, from https://4ort.xyz/entity/pseudo-differential-operator
MLA “pseudo-differential operator.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/pseudo-differential-operator.
BibTeX @misc{4ortxyz_pseudo-differential-operator_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{pseudo-differential operator}}, year = {2026}, url = {https://4ort.xyz/entity/pseudo-differential-operator}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): pseudo-differential operator — https://4ort.xyz/entity/pseudo-differential-operator (retrieved 2026-04-10)

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