Аннотация:
The previously considered schemes for solving the
abstract Riemann problem generalize not only the Riemann boundary value problems in Holder
space and Lp, but and some integral convolution type equations (with two kernels, Wiener–Hopf,
pair ones) in the space L2 ( ) and in wider spaces generalized functions. The corresponding
Riemann problem is no longer a boundary problem for analytic functions. However, despite on the
whole generality, the matrix Riemann boundary-value problem on a closed contour does not obey to
the considered schemes. In this paper, for solving the Riemann problem, an abstact scheme with
another axiomatic is proposed, which eliminates this disadvantage.
