harmonic analysis

harmonic analysis

noun Mathematics.
1.
the calculation of Fourier series and their generalization.
2.
the study of Fourier series and their generalization.
Also called Fourier analysis.


Origin:
1865–70

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
harmonic analysis
 
n
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

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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American Heritage
Science Dictionary
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 © 2002. Published by Houghton Mifflin. All rights reserved.
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Encyclopedia Britannica
Encyclopedia

harmonic analysis

mathematical procedure for describing and analyzing phenomena of a periodically recurrent nature. Many complex problems have been reduced to manageable terms by the technique of breaking complicated mathematical curves into sums of comparatively simple components.

Learn more about harmonic analysis with a free trial on Britannica.com.

Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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