harmonic analysis

American  

noun

Mathematics.

1. the calculation of Fourier series and their generalization.

2. the study of Fourier series and their generalization.

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harmonic analysis British  

noun

1. the representation of a periodic function by means of the summation and integration of simple trigonometric functions

2. the study of this means of representation

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harmonic analysis Scientific  

1. The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.

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Etymology

Origin of harmonic analysis

First recorded in 1865–70

Example Sentences

See Examples For:

harmonic analysis

Dr. Flores studies mathematical physics, partial differential equations, and harmonic analysis, so it is fitting that the theorem she chose to share on the podcast has a physics flavor.

From Scientific American ● Mar. 2, 2019

Characteristically, Bourgain tackled the problem by means of harmonic analysis.

From Nature ● Feb. 5, 2019

Thomson, D. J. Spectrum estimation and harmonic analysis.

From Nature ● Feb. 4, 2018

Green is a specialist in an area called number theory, and Tao originally trained in an area called harmonic analysis.

From New York Times ● Jul. 24, 2015

You can begin practicing harmonic analysis by practicing identifying whether a piece is in the major key or in its relative minor.

From "Understanding Basic Music Theory" by Catherine Schmidt-Jones and Russel Jones