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Harmonic Analysis


In music, if a note has frequency f, integer multiples of that frequency, 2f,3f,4f and so on, are known as harmonics. As a result, the mathematical study of overlapping waves is called harmonic analysis.

Harmonic analysis is a diverse field including such branches as Fourier series, isospectral manifolds (hearing the shape of a drum), and topological groups. Signal processing, medical imaging, and quantum mechanics are three of the fields that use harmonic analysis extensively.


See also

Fourier Series, Harmonic Addition Theorem, Superposition Principle

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References

Stein, E. M. Harmonic Analysis. Princeton, NJ: Princeton University Press, 1993.

Referenced on Wolfram|Alpha

Harmonic Analysis

Cite this as:

Weisstein, Eric W. "Harmonic Analysis." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarmonicAnalysis.html

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