Harmonic analysis studies the representation and analysis of functions through oscillatory components. In music, integer multiples
, , , and so on of a note's frequency are known as harmonics. The mathematical study of overlapping
waves gives the subject its name (Darrigol 2007, pp. 343-344).
The field includes 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.
, 
, 
, and so on of a note's frequency 
are known as harmonics. The mathematical study of overlapping
waves gives the subject its name (Darrigol 2007, pp. 343-344).
