If F{f(x)} = F(s), then by parseval's identity SF (s] ds is equal to
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Fourier Transform: A function that is generated from another function and then represented by a succession of functions that are sinusoidal is called Fourier transform.
Parse Val's Identity: In mathematics, Parseval's theorem is most often used to refer to the finding that the Fourier transform is unitary. In a nutshell, this statement states that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform.
Step-by-step explanation:
- F{f(x) = F(s) be the Fourier transform of function f(x).
- According to Parseval's identity if f(x) is normalizable then its Fourier transform F(s) is also normalizable under a limit.
- Mathematically
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