On Fredholm Eigenvalues of Unbounded Polygons
An important open problem in geometric complex analysis is to establish some algorithms for explicit determination of the basic functionals intrinsically connected with conformal and quasiconformal mappings such as their Teichmulle arnd Grunsky norms, Fredholm eigenvalues and the quasi-reflection coefficient. This problem has not been solved even for generic quadrilaterals. We provide a restricted solution of the problem for unbounded rectilinear polygons.