harmonic analysis
noun
: the expression of a periodic function as a sum of sines and cosines and specifically by a Fourier series
Examples of harmonic analysis in a Sentence
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This was on full display in one of my favorite articles of the year, an account by Kevin Hartnett of how a mathematician named Hannah Cairo solved an important problem in the field of harmonic analysis — at just 17 years old.
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Jordana Cepelewicz, Quanta Magazine, 18 Dec. 2025
Rajula Srivastava, for contributions in harmonic analysis and analytic number theory, including contributions to the problem of counting rational points near smooth manifolds.
—Alex Cramer, HollywoodReporter, 6 Apr. 2025
Guth studied it on and off for a few years, only to realize that his techniques from harmonic analysis wouldn’t work.
—Jordana Cepelewicz, WIRED, 4 Aug. 2024
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Jordana Cepelewicz, Quanta Magazine, 18 Dec. 2025
Rajula Srivastava, for contributions in harmonic analysis and analytic number theory, including contributions to the problem of counting rational points near smooth manifolds.
—Alex Cramer, HollywoodReporter, 6 Apr. 2025
Guth studied it on and off for a few years, only to realize that his techniques from harmonic analysis wouldn’t work.
—Jordana Cepelewicz, WIRED, 4 Aug. 2024
Cite this Entry
“Harmonic analysis.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/harmonic%20analysis. Accessed 29 Dec. 2025.
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