A jump problem on a contour with limit continuum

Abstract

© 2015, Allerton Press, Inc. We obtain a solvability condition for boundary-value problem on restoring holomorphic function by a given jump on a contour with limit continuum. An example of such contour is a graph of the function (Formula presented.), 0 < x ≤ 1, whose limit continuum is a segment [−i, i] of imaginary axis.