harmonic analysis


noun Mathematics.

the calculation of Fourier series and their generalization.
the study of Fourier series and their generalization.

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Also called Fourier analysis.

Origin of harmonic analysis

First recorded in 1865–70
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

British Dictionary definitions for harmonic analysis

harmonic analysis

noun

the representation of a periodic function by means of the summation and integration of simple trigonometric functions
the study of this means of representation
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for harmonic analysis

harmonic analysis

The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.