Convergence of Fourier series

In mathematics, the question of whether the Fourier series of a given periodic function converges 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, Lp spaces, summability methods and the Cesàro mean.

This article is issued from Wikipedia. The text is available under Creative Commons Attribution-Share Alike 4.0 unless otherwise noted. Additional terms may apply for the media files.