Editing Convergence of Fourier series (section)

{{Short description|Mathematical problem in classical harmonic analysis}}
In [[mathematics]], the question of whether the [[Fourier series]] of a given [[periodic function]] [[convergent series|converges]] to the given [[function (mathematics)|function]] is researched by a field known as '''classical harmonic analysis''', a branch of [[pure mathematics]]. Convergence is not necessarily given in the general case, and certain criteria must be met for convergence to occur.

Determination of convergence requires the comprehension of [[pointwise convergence]], [[uniform convergence]], [[absolute convergence]], [[Lp space|''L''<sup>''p''</sup> spaces]], [[summability method]]s and the [[Cesàro mean]].