Compute the integral \(\int_{-\infty}^\infty \frac{e^{-2\pi i x\xi}}{\cosh \pi x}\,dx\) where \(\cosh z = \frac{e^z + e^{-z}}{2}\).
Fourier transform of $1/\cosh\pi x$
P-TIE-F16-08
- Area
- Complex Analysis
- Status
- draft
P-TIE-F16-08
Compute the integral \(\int_{-\infty}^\infty \frac{e^{-2\pi i x\xi}}{\cosh \pi x}\,dx\) where \(\cosh z = \frac{e^z + e^{-z}}{2}\).