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Hilbert transform
Partial Function
| $H: (\mathbb C\to\mathbb C)\to(\mathbb C\to\mathbb C)$ |
| $H(f):=t\mapsto \frac{1}{\pi}\cdot\mathcal P\int_{-\infty}^\infty\frac{f(\tau)}{t-\tau}\,\mathrm dx$ |
Discussion
$H(H(f))=-f$
Reference
Wikipedia: Hilbert transform
Parents
Requirements
