Riemann-Lebesgue lemma

noun

A lemma, of importance in harmonic analysis and asymptotic analysis, stating that the Fourier transform or Laplace transform of an L1 function vanishes at infinity.

Meanings

noun
  1. mathematical analysisA lemma, of importance in harmonic analysis and asymptotic analysis, stating that the Fourier transform or Laplace transform of an L1 function vanishes at infinity.

Origin

Named after German mathematician Bernhard Riemann and French mathematician Henri Lebesgue.

Full word history & related roots →

Translations

Polish twierdzenie Riemanna-Lebesgue'a
  • twierdzenie Riemanna-Lebesgue'alemma
Cite this entry
APA

Riemann-Lebesgue lemma. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Riemann-Lebesgue%20lemma

MLA

“Riemann-Lebesgue lemma.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Riemann-Lebesgue%20lemma. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Riemann-Lebesgue lemma,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Riemann-Lebesgue%20lemma.

Source: Riemann-Lebesgue lemma on Wiktionary, CC BY-SA 4.0.