On super (or pseudo) differential forms as superfunctions
On superposition of quasianalytic functions
On supersoluble groups acting on Klein surfaces.
On supports of dynamical laminations and biaccessible points in polynomial Julia sets
We use Beurling estimates and Zdunik's theorem to prove that the support of a lamination of the circle corresponding to a connected polynomial Julia set has zero length, unless f is conjugate to a Chebyshev polynomial. Equivalently, except for the Chebyshev case, the biaccessible points in the connected polynomial Julia set have zero harmonic measure.
On Teichmüller modular forms.
On Teichmüller's modulus problem in R...
On the 3-segment property for complex-valued functions
On the accessible points in the Julia sets of some entire functions
We prove that for some families of entire functions whose Julia set is the complement of the basin of attraction every branch of a tree of preimages starting from this basin is convergent.
On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.
On the analytic capacity and curvature of some Cantor sets with non-σ-finite length.
We show that if a Cantor set E as considered by Garnett in [G2] has positive Hausdorff h-measure for a non-decreasing function h satisfying ∫01 r−3 h(r)2 dr < ∞, then the analytic capacity of E is positive. Our tool will be the Menger three-point curvature and Melnikov’s identity relating it to the Cauchy kernel. We shall also prove some related more general results.
On the Analytic Continuation of Rank One Eisenstein Series.
On the analytic solution of the equation of fifth degree
On the angular boundedness of Bloch functions.
On the Angular Derivative of Analytic Functions.
On the angular limits of Bloch functions.
This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.
On the application of the orthonormal Franklin system to the approximation of analytic functions
On the Approximate Conformai Mapping of Multiply Connected Domains.
On the approximation of analytic functions by the -Bernstein polynomials in the case .
On the approximation of continuous functions by solutions to partial complex differential equations
On the approximation of entire functions over Carathéodory domains
Let be a Carathéodory domain. For , let be the class of all functions holomorphic in such that , where is the area of . For , set consists of all polynomials of degree at most . In this paper we study the growth of an entire function in terms of approximation...