Last Updated
:2025/11/29
Riemann-Lebesgue lemma
Noun
Japanese Meaning
リアーマン・レベーグの補題:調和解析や漸近解析において重要な補題で、L1 関数のフーリエ変換やラプラス変換が無限大で消える(ゼロに収束する)という性質を述べる。
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(mathematics) 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.
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Riemann-Lebesgue lemma
Using the Riemann-Lebesgue lemma, we can show that the Fourier transform of any L1 function vanishes at infinity.
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Using the Riemann-Lebesgue lemma, we can show that the Fourier transform of any L1 function vanishes at infinity.
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