On a result of Farkas.
On boundary behavior of Cauchy integrals
In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
On central extensions of mapping class groups.
On locally biholomorphic mappings from multi-connected onto simply connected domains
We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.
On locally biholomorphic surjective mappings
We prove that each open Riemann surface can be locally biholomorphically (locally univalently) mapped onto the whole complex plane. We also study finite-to-one locally biholomorphic mappings onto the unit disc. Finally, we investigate surjective biholomorphic mappings from Cartesian products of domains.
On pairs of closed geodesics on hyperbolic surfaces
In this article we prove a trace formula for double sums over totally hyperbolic Fuchsian groups . This links the intersection angles and common perpendiculars of pairs of closed geodesics on with the inner products of squares of absolute values of eigenfunctions of the hyperbolic laplacian . We then extract quantitative results about the intersection angles and common perpendiculars of these geodesics both on average and individually.
On ramifications divisors of functions in a punctured compact Riemann surface.
Let ν be a compact Riemann surface and ν' be the complement in ν of a nonvoid finite subset. Let M(ν') be the field of meromorphic functions in ν'. In this paper we study the ramification divisors of the functions in M(ν') which have exponential singularities of finite degree at the points of ν-ν', and one proves, for instance, that if a function in M(ν') belongs to the subfield generated by the functions of this type, and has a finite ramification divisor, it also has a finite divisor. It is also...
On the disc theorem
Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.
On the Structure of the Automorphism Group of a Compact Klein Surface with N Boundary Components (1 < N < 4).
On uniformly quasisymmetric groups of circle diffeomorphisms.