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Fourier inversion theorem
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Everything about Fourier Inversion Theorem totally explainedIn mathematics and electrical engineering, Fourier inversion recovers a function from its Fourier transform. Several different Fourier inversion theorems exist.
Sometimes the following identity is used as the definition of the Fourier transform:
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This wasn't proved until 1966 in (Carleson, 1966).
For strictly finitary discrete Fourier transforms, these delicate questions of convergence are avoided.
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