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Riemann-Lebesgue lemma

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Riemann-Lebesgue lemma

[′rē‚män lə′beg ‚lem·ə]
(mathematics)
If the absolute value of a function is integrable over the interval where it has a Fourier expansion, then its Fourier coefficients an tend to zero as n goes to infinity.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive
In the following, we introduce the (right-sided) QFT and some of its fundamental properties such as Riemann-Lebesgue lemma and continuity.
The following theorem is an extension of the Riemann-Lebesgue lemma in the QFT domain.
A Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms
By the Riemann-Lebesgue lemma (see, e.g., [11, Chap.
Toeplitz Operators on Abstract Hardy Spaces Built upon Banach Function Spaces
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