Riemann–Lebesgue lemma
= Riemann–Lebesgue lemma
{wiki=Riemann–Lebesgue_lemma}
The Riemann–Lebesgue lemma is a fundamental result in Fourier analysis, dealing with the behavior of the Fourier coefficients of integrable functions. It asserts that if \\( f \\) is an integrable function on the real line (or on a finite interval), then the Fourier coefficients of \\( f \\) tend to zero as the frequency goes to infinity.