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hilbert_transform [2014/02/21 18:36]
nikolaj
hilbert_transform [2014/03/21 11:11] (current)
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 ===== Hilbert transform ===== ===== Hilbert transform =====
 ==== Partial Function ==== ==== Partial Function ====
-| @#FFBB00: $H: (\mathbb C\to\mathbb C)\to(\mathbb C\to\mathbb C)$ | +| @#FFBB00: definiendum ​| @#FFBB00: $H: (\mathbb C\to\mathbb C)\to(\mathbb C\to\mathbb C)$ | 
-| @#FFBB00: $H(f):​=y\mapsto \frac{1}{\pi}\cdot\mathcal P\int_{-\infty}^\infty\frac{f(x)}{y-x}\,​\mathrm dx$ |+| @#FFBB00: definiendum ​| @#FFBB00: $H(f):​=y\mapsto \frac{1}{\pi}\cdot\mathcal P\int_{-\infty}^\infty\frac{f(x)}{y-x}\,​\mathrm dx$ |
  
 ==== Discussion ==== ==== Discussion ====
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