Solution of the inverse problem on a finite interval

Case 1. Let Ao = 0. Then T(x) = 1 4-clx, and (3.42) is equivalent to the condition

(3.43)

If (3.43) is fulfilled then £Ш(А) is the WF for L of the form (3.25)—(3.26), and

If a < 0 then the solvability condition is not fulfilled, and the function ШІ(А) is not the WF. For the self-adjoint case a > 0 the solvability condition is fulfilled automaticaly.