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 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, "Yves Meyer, Wavelet Expert, Wins Abel Prize," 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

Keep scrolling for more

Learn More about harmonic analysis

Time Traveler for harmonic analysis

Time Traveler

The first known use of harmonic analysis was in 1867

See more words from the same year

Statistics for harmonic analysis

Cite this Entry

“Harmonic analysis.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/harmonic%20analysis. Accessed 14 Apr. 2021.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

More from Merriam-Webster on harmonic analysis

Britannica.com: Encyclopedia article about harmonic analysis

Comments on harmonic analysis

What made you want to look up harmonic analysis? Please tell us where you read or heard it (including the quote, if possible).


Test Your Vocabulary

The Exceptions Quiz III

  • one green toy robot amidst many red toy robots
  • Which of these words does not mean "nonsense"?
Spell It

Can you spell these 10 commonly misspelled words?

 AlphaBear 2

Spell words. Make bears.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!