`BookProof.ChapterShannonSampling.integral_exp_mul_ofReal` (T a : ℝ) (hT : 0 < T) : (∫ ξ in (-(T / 2))..(T / 2), Complex.exp (2 * π * I * a * ξ)) = (T : ℂ) * (sinc (a * T) : ℝ)

Initializing...

`BookProof.ChapterShannonSampling.integral_exp_mul_ofReal` (T a : ℝ) (hT : 0 < T) : (∫ ξ in (-(T / 2))..(T / 2), Complex.exp (2 * π * I * a * ξ)) = (T : ℂ) * (sinc (a * T) : ℝ) · Prove2Me