When it has a jump discontinuity, its partial sums can exhibit the Gibbs phenomenon.
When it has a jump discontinuity, its partial sums can exhibit the Gibbs phenomenon. It also can be used as a means to represent a periodic signal as an infinite sum of sine wave components. In essence the theory states that any periodic function F(t), with period T, may be represented by this series with the first coefficient being twice the average of the function over one period. FTP, name this mathematical series first theorized in a paper on heat conduction and named for the French scientist who formulated it.
When it has a jump discontinuity, its partial sums can exhibit the Gibbs phenomenon.
{Fourier} Series or {Infinite} Series