List questions from parsevals-identity | MathQA

Parseval's Identity Application

Published on 28 Feb 2022 - 20:42

changing order of integration and sum

Published on 07 Jun 2022 - 20:35

Use parseval's identity to prove $\int_0^\infty {\sin^4t \over t^2} dt = {\pi \over 4}$

Published on 06 Aug 2022 - 19:54

Calculate $\sum_{n=1}^{\infty}\frac{1}{(4n^2-1)^2}$ using Parseval

Published on 17 Oct 2022 - 12:11

Calculating $\sum_{k = 1}^{\infty} k^{-8}$ using Parseval´s identity

Published on 23 Nov 2022 - 22:57

Proof of Plancherel's Theorem

Published on 29 Nov 2022 - 18:42

Prove that an orthonormal set $\{y_1,y_2,y_3,\dots\}$ is an orthonormal basis iff $\sum_{m=1}^\infty \vert(y_m,x_n)\vert^2=1\forall n\in \mathbb N$

Published on 06 Dec 2022 - 13:44

Show that $L^2$-norm of function and its Fourier transform coincide

Published on 02 Jan 2023 - 16:20

Using Parseval's Identity to Calculate an Integral

Published on 03 Jan 2023 - 14:12