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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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When is it possible to use the Parseval-Plancherel identity to solve an integral?

Recall the identity that Fourier transform of $K(x)=\text{sech}(x)$ is $\tilde K(p)=\pi \text{sech}\left(\frac{\pi p}{2}\right)$. Using this identity the Fourier transform of $\frac{\text{sech} {x}} …
Pradip Kattel's user avatar