Harmonic-analysis definitions

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

The study of Fourier series.

The act of breaking a periodic function into components, each expressed as a sine or cosine function.

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

(analysis) A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others.