[math-fun] Name of this transform?

What's the name of this transform? It basically treats the even part of the function as "real", the odd part as "imaginary", and rotates it by 90 degrees: T(f)(z) = z even(f)(z) - odd(f)(z)/z = z(f(z) + f(-z))/2 - (f(z) - f(-z))/2z It's somewhat related to the Hilbert transform, but that splits the function into positive and negative frequencies rather than even and odd part. -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com