harmonic analysis


Definition of harmonic analysis

: 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

Recent Examples on the Web Croot introduced powerful new methods from harmonic analysis — a branch of math closely related to calculus — to confirm the Erdős-Graham prediction. Quanta Magazine, 9 Mar. 2022 After introducing new ideas in harmonic analysis and obtaining important results in an area called Calderón-Zygmund operator theory in the 1970s, Meyer wandered to the fledgling study of wavelets in the mid-1980s. Quanta Magazine, 21 Mar. 2017

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'harmonic analysis.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of harmonic analysis

1867, in the meaning defined above

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Time Traveler for harmonic analysis

Time Traveler

The first known use of harmonic analysis was in 1867

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Dictionary Entries Near harmonic analysis


harmonic analysis

harmonic analyzer

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Cite this Entry

“Harmonic analysis.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/harmonic%20analysis. Accessed 29 Jun. 2022.

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More from Merriam-Webster on harmonic analysis

Britannica.com: Encyclopedia article about harmonic analysis


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