Some Generalizations of the Riemann–Lebesgue Lemma

We present several generalizations of the Riemann–Lebesgue lemma. Our approach highlights the role of cancellation in the Riemann–Lebesgue lemma.

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Bibliographic Details
Published in:The American mathematical monthly 2016-04, Vol.123 (4), p.387-391
Main Authors: Costin, Ovidiu, Falkner, Neil, McNeal, Jeffery D
Format: Article
Language:English
Subjects:
Harmonic analysis
Mathematical analysis
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Description
Summary:We present several generalizations of the Riemann–Lebesgue lemma. Our approach highlights the role of cancellation in the Riemann–Lebesgue lemma.
ISSN:0002-9890
1930-0972
DOI:10.4169/amer.math.monthly.123.4.387