The integral transform obtained by defining
 |
(1)
|
and writing
 |
(2)
|
where 
and 
are a Hilbert transform pair as
 |
(3)
|
(Papoulis 1962, p. 201).
Wiener-Lee Transform
See also
Hilbert Transform, Integral TransformExplore with Wolfram|Alpha
References
Papoulis, A. "Wiener-Lee Transforms." The Fourier Integral and Its Applications. New York: McGraw-Hill, pp. 201-203, 1962.Referenced on Wolfram|Alpha
Wiener-Lee TransformCite this as:
Weisstein, Eric W. "Wiener-Lee Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Wiener-LeeTransform.html