harmonic analysis

noun Mathematics.

1. the calculation of Fourier series and their generalization.
2. the study of Fourier series and their generalization.

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

1. The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.