Abstract
The Riemann boundary value problem is considered on a simple closed piecewise smooth contour in the space , along with the corresponding singular integral operator with a bounded coefficient bounded away from zero and having finitely many discontinuities of the second kind that are vorticity points of power type. A theory of one-sided invertibility of is constructed, the spaces and are described, and a construction is given for the inverse operators. Bibliography: 31 titles.
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