Convergence of Fourier series

In mathematics, the question of whether the Fourier series of a given periodic functionconverges to the given function is studied in classical harmonic analysis, a branch of pure mathematics. Convergence does not occur in the general case – certain criteria must be met.

Determination of convergence requires the comprehension of pointwise convergence, uniform convergence, absolute convergence, L spaces, summability methods and the Cesàro mean.