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Parseval's theorem

In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum of the square of a function is equal to the sum of the square of its transform. Wikipedia
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In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of ...
The identity asserts the equality of the energy of a periodic signal (given as the integral of the squared amplitude of the signal) and the energy of its ...
Parseval's Theorem states that the total energy computed in the time domain must equal the total energy computed in the frequency domain.
The meaning of PARSEVAL is a nonrigid airship usually having a car suspended beneath a gas envelope.
Parseval from mathworld.wolfram.com
Parseval's Theorem ... then Bessel's inequality becomes an equality known as Parseval's theorem. From (1),. [f(x)]^2=1/4a_0^2+a_0sum_.
For a full Fourier Series on [−L, L] Parseval's Theorem assumes the form: f(x) = a0. 2. +. ∞. ∑ n=1 an cos. ( nπx. L. ) + bn sin. ( nπx. L. ).