SOLUTIONS OF THE BAXTER EQUATION

We present a method of construction of a family of solutions of the Ba xter equation arising in the Generalized Leading Logarithmic Approxima tion (GLLA) of the QCD pomeron. The details are given for the exchange of N = 2 reggeons but everything call be generalized in a straightfor ward way to arbitrary N. A specific choice of solutions is shown to re produce the correct energy levels for half integral conformal weights. It is shown that the Baxter's equation must be supplemented by an add itional condition on the solution.