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
British Dictionary definitions for harmonic analysis

harmonic analysis

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
harmonic analysis in Science
harmonic analysis  
The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.
Encyclopedia Article for 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.

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