A sufficient condition for Teichmüller spaces to have smallest possible inner radii.
A sufficient condition for univalence.
A sufficient condition for univalency.
A summability approximation theorem for Taylor series of meromorphic functions.
A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ
In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
A survey on uncertainty principles related to quadratic forms.
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A system of exponential functions with shift and the Kostyuchenko problem.
A Tauberian theorem for series of orthogonal rational functions.
A T(b) theorem with remarks on analytic capacity and the Cauchy integral
A Test for the Stability of Networks
A complex polynomial is called a Hurwitz polynomial, if all its roots have a real part smaller than zero. This kind of polynomial plays an all-dominant role in stability checks of electrical (analog or digital) networks. In this article we prove that a polynomial p can be shown to be Hurwitz by checking whether the rational function e(p)/o(p) can be realized as a reactance of one port, that is as an electrical impedance or admittance consisting of inductors and capacitors. Here e(p) and o(p) denote...
A theorem concerning the means of an entire function an its derivatives.
A theorem of differential mappings of Riemann surfaces.
A theorem of Lindelöf type for quasiconformal mappings in space
A theorem of Semmes and the boundary absolute continuity in all dimensions.
We use a recent theorem of Semmes to resolve some questions about the boundary absolute continuity of quasiconformal maps in space.
A third-order differential equation and starlikeness of a double integral operator.
A topological dichotomy with applications to complex analysis
Let X be a compact topological space, and let D be a subset of X. Let Y be a Hausdorff topological space. Let f be a continuous map of the closure of D to Y such that f(D) is open. Let E be any connected subset of the complement (to Y) of the image f(∂D) of the boundary ∂D of D. Then f(D) either contains E or is contained in the complement of E. Applications of this dichotomy principle are given, in particular for holomorphic maps, including maximum and minimum modulus principles,...
A trace-class rigidity theorem for Kleinian groups.
A unicity theorem for meromorphic functions.
A Unified Approach to Methods for the Simultaneous Computation of All Zeros of Generalized Polynomials.