We present a brief survey of results on the Riemann boundary value problem for non-rectifiable curves. The solution of the Riemann problem for piecewise smooth curves and arcs was one of the well-known achievements of the ...
Let γ be a simple Jordan arc in the complex plane. The Szegö function, by definition, is a holomorphic in C\γ function with a prescribed product of its boundary values on γ. The problem of finding the Segö function in the ...