ABSTRACT
T heo rem 9.4. Problem 9.Ą has a unique solution in the class of finite integrable co efficients Pk(x), k = 0, n — 2. This solution can be found by the following algorithm:
Case 3. We consider the IP of recovering a self-adjoint DE from the spectral function. For n = 2, this IP was studied by Marchenko [5], [6], GePfand and Levitan [10], and for higher-order DE by L. Sakhnovich [47], [48] and Kahchatryan [50]. In particular, the transformation operator method for n > 2 is used in [50] to prove a uniqueness theorem in the class of functions which are analytic in a certain sector.
