What is the difference between Parseval‘s theorem and Plancherel Theorem
Plancherel定理是调和分析里的一个结论,最早由MichelPlancherel证明,其可表述为对同时属于L1(R)L^{1}(R)L1(R)和L2(R)L^{2}(R)L2(R)的函数f来说,其傅立叶变换F属于L2(R)L^{2}(R)L2(R),且傅立叶变换是等距变换.数学表述为：∥f^∥2=∫−∞∞f2(t)dt,\Vert\hat{f}\Vert^{2}=\int_{-\infty}