Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve

Abstract

© 2017, Allerton Press, Inc.We study the Riemann boundary-value problem on non-rectifiable curves for holomorphic matrices with Fokas–Its–Kitaev asymptotics by means of the Cauchy transforms of certain distributions with supports on that curves. The main results concern the existence of solutions of sufficiently large degree.