Convergence of Fourier Series

Convergence Of Fourier Series

In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given in the general case, and there are criteria which need to be met in order for convergence to occur.

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

Read more about Convergence Of Fourier Series:  Preliminaries, Magnitude of Fourier Coefficients, Pointwise Convergence, Uniform Convergence, Absolute Convergence, Norm Convergence, Convergence Almost Everywhere, Summability, Order of Growth, Multiple Dimensions

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