Abstract
We construct an expression which generalizes the familiar Schwartz expression to the case of a denumerable-connected circularδ-region for which the centers of the boundary circles lie on a finite number of straight lines of the same bundle. Using this expression we can construct a regular and single-valued function of a sufficiently general form inside the region under consideration, from the values of its real part on the boundary of the region.
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More From: Mathematical Notes of the Academy of Sciences of the USSR
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