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Date: 11-6-2018
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In music, if a note has frequency , integer multiples of that frequency, 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.
REFERENCES:
Stein, E. M. Harmonic Analysis. Princeton, NJ: Princeton University Press, 1993.
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