Riemann boundary value problem with infinite index in a Banach space (Q2751148)

Let \(L\) be a simple smooth infinite curve with the end points \(t_0\) and \(\infty\). The authors consider the Riemann boundary value problem NEWLINE\[NEWLINE\Phi^+(t,\xi)=G(t,\xi)\Phi^-(t,\xi)+g(t,\xi),\quad t\in L\backslash \{t_0, \infty\},NEWLINE\]NEWLINEwith parameter \(\xi\in [0,1]\) of infinite index. Namely, it is supposed that \(\arg G(t,\xi)=2\pi\varphi(t,\xi)|t|^\rho\), \(\rho>0\). Under some assumptions on \(\varphi(t,\xi)\) they describe the solution of the mentioned problem in the Hölder space.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00026].