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harmonic analysis

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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
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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harmonic analysis  
n.  The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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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

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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