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On the theory of normalization of the Riemann problem. (Russian) Zbl 0754.35106

The paper is devoted to the problems of normalization of the Riemann boundary value problem with coefficients degenerated on a set of zero measure and to singular integral operators associated with it. The general form of normalizing spaces for certain classes of singular integral operators associated with the Riemann problem is established.

MSC:

35Q15 Riemann-Hilbert problems in context of PDEs
47G10 Integral operators
45E05 Integral equations with kernels of Cauchy type