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Hilbert Transform

\begin{eqnarray*}
g(y) &=& {1\over \pi} \int_{-\infty}^\infty{f(x)\,dx\over x-y...
... f(x)&=& {1\over \pi} \int_{-\infty}^\infty {g(y)\,dy\over y-x}.
\end{eqnarray*}



See also Titchmarsh Theorem


References

Bracewell, R. The Fourier Transform and Its Applications. New York: McGraw-Hill, pp. 267-272, 1965.




© 1996-9 Eric W. Weisstein
1999-05-25