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Harmonic Analysis

Alternate name

Definition

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.

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