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

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

This course will go no further than to encourage you to develop a basic understanding of what harmonic analysis is about.

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