  We consider the Bethe Salpeter approach to the BFKL evolution in order to
naturally incorporate the property of the Hermitian Separability in the BFKL
approach. We combine the resulting all order ansatz for the BFKL eigenvalue
together with reflection identities for harmonic sums and derive the most
complicated term of the next-to-next-to-leading order BFKL eigenvalue in SUSY
N=4. We also suggest a numerical technique for reconstructing the unknown
functions in our ansatz from the known results for specific values of confomal
spin.
