INVERSION OF INTEGRAL OF B-POTENTIAL TYPE WITH DENSITY FROM Φ_γ

摘要

In [3], the inversion of an integral operator of potential type with constant characteristic generated by the many-dimensional generalized shift was obtained. In this paper, the author obtains a generalization of the results from [3] to the case of a shift of mixed type, i.e., on a part of the variable generalized shifts of integral nature adopted to deal with the Bessel singular differential operator act, whereas on the other part, the ordinary shift act. Also, it should be noted that in contrast to [3], the integral of B-potential type with homogeneous characteristic is considered in this paper. This generalization is attained by introducing general hypersingular integrals of the general form [8].