Complex sentence: For most engineering uses of Fourier analysis, convergence is generally simply assumed without justification; this article shows that convergence is not necessarily a given in the general case, and discusses the criteria which need to be met for convergence to occur.
Split into simpler sentences: For most engineering uses of Fourier analysis, convergence is generally simply assumed without justification. However, 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.