ABSTRACT
We treat the potentials K^(p of the form (4.28), 0 < a < n. Our goal is to construct an operator inverse to K% in the elliptic case
KZ{<r) ± 0, M = 1, (8.1)
where IC%(<T) is the symbol (4.32) of the operator K % . In the simplest case w(<r) = const, the inversion has already been given in Theorem 3.22. In the general case, when w(cr) is not constant, the construction of the inverse operator is closely connected with the properties of the function /C£(cr), x G Sn~1.
