Semigroups of analytic functions in analysis and applications

DOI10.1070/RM2012V067N06ABEH004816zbMath1269.30002OpenAlexW2137495508MaRDI QIDQ4914330

Viktor V. Goryainov

Publication date: 19 April 2013

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2012v067n06abeh004816

zbMATH Keywords

fixed pointsevolution equationevolution familyinfinitesimal generatorone-parameter semigroupKoenigs functionfractional iterates

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of conformal mappings (30C35) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal mappings of special domains (30C20) Iteration theory, iterative and composite equations (39B12) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional equations for complex functions (39B32) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) History of functions of a complex variable (30-03)

Related Items (22)

Schwarzian derivative and covering arcs of a pencil of circles by holomorphic functions ⋮ Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points ⋮ Geometric function theory. Jenkins' results. The method of modules of curve families ⋮ On the eigenvalues of the infinitesimal generator of a semigroup of composition operators ⋮ Uniformization of one-parametric families of complex tori ⋮ On the rate of convergence of parabolic semigroups of holomorphic functions ⋮ Extremal problems in geometric function theory ⋮ Parametric representation of univalent functions with boundary regular fixed points ⋮ Estimate of the second coefficient of holomorphic mappings of a disk into itself with two fixed points ⋮ Compact sets in petals and their backward orbits under semigroups of holomorphic functions ⋮ Infinitesimal generators of semigroups with prescribed boundary fixed points ⋮ Holomorphic endomorphisms of the unit disk with invariant diameter and bounded distortion ⋮ Strengthening of Landau's theorem for holomorphic self-mappings of a disk with fixed points ⋮ Angular and unrestricted limits of one-parameter semigroups in the unit disk ⋮ Loewner-Kufarev equation for a strip with an analogue of hydrodynamic normalization ⋮ Contact points and fractional singularities for semigroups of holomorphic self-maps of the unit disc ⋮ Geometric description of the classification of holomorphic semigroups ⋮ On holomorphic self-mappings of the unit disk ⋮ Harmonic measures, Green potentials and semigroups of holomorphic functions ⋮ On the rate of convergence of hyperbolic semigroups of holomorphic functions ⋮ Classical and Stochastic Löwner–Kufarev Equations ⋮ On the asymptotic behavior of the trajectories of semigroups of holomorphic functions

This page was built for publication: Semigroups of analytic functions in analysis and applications