Asymptotic maximum principle.
Asymptotic stability for sets of polynomials
We introduce the concept of asymptotic stability for a set of complex functions analytic around the origin, implicitly contained in an earlier paper of the first mentioned author (“Finite group actions and asymptotic expansion of ", Combinatorica 17 (1997), 523 – 554). As a consequence of our main result we find that the collection of entire functions with the set of all real polynomials satisfying Hayman’s condition is asymptotically stable. This answers a question raised in loc. cit.
Asymptotic tracts of harmonic functions. III.
Asymptotic values and the growth of analytic functions in spiral domains.
In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ∂-mollification and may be of use in other problems as well.
Asymptotic values for uniformly convergent sequences of functions
Asymptotically conformal classes and non-Strebel points
Let T(Δ) be the universal Teichmüller space on the unit disk Δ and T₀(Δ) be the set of asymptotically conformal classes in T(Δ). Suppose that μ is a Beltrami differential on Δ with [μ] ∈ T₀(Δ). It is an interesting question whether [tμ] belongs to T₀(Δ) for general t ≠ 0, 1. In this paper, it is shown that there exists a Beltrami differential μ ∈ [0] such that [tμ] is a non-trivial non-Strebel point for any .
Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences
Asymptotics for extremal polynomials with varying measures.
Asymptotics for orthogonal polynomials off the circle.
Asymptotics for quadratic Hermite-Padé polynomials associated with the exponential function.
Asymptotics for the zeros of the generalized Bessel polynomials.
Asymptotische Abschätzung des absoluten Betrages einer Funktion, die die Werte 0 und 1 nicht annimmt.
Asymptotische Selbstentwicklungen von holomorphen Funktionen.
Atomic decomposition of a weighted inductive limit.
Estudiamos algunas cuestiones estructurales acerca del espacio localmente convexo HV∞, que está formado por funciones analíticas en el disco unidad abierto. Construimos una descomposición atómica de este espacio, usando un retículo de puntos del disco unidad que es más denso que el usual. También demostramos que HV∞ no es nuclear.
Attracting dynamics of exponential maps.
Attractive Cycles in the Iteration of Meromorphic Functions.
Attractive Fixed Points and Continued Fractions.
Attractors with vanishing rotation number
Given an orientation-preserving homeomorphism of the plane, a rotation number can be associated with each locally attracting fixed point. Assuming that the homeomorphism is dissipative and the rotation number vanishes we prove the existence of a second fixed point. The main tools in the proof are Carath´eodory prime ends and fixed point index. The result is applicable to some concrete problems in the theory of periodic differential equations.
Auszug aus einem Schreiben des Herrn L. Fuchs an C. W. Borchardt.
Automorphism groups of compact Klein surfaces with one boundary component.