Resonances in Loewner equations

DOI10.1016/j.aim.2011.03.010zbMath1256.32022arXiv1006.2989OpenAlexW2010569956MaRDI QIDQ555592

Leandro Arosio

Publication date: 25 July 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2989

zbMATH Keywords

resonanceevolution familiesLoewner chains in several variablesLoewner equations

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items

Variation of Loewner chains, extreme and support points in the class \(S^0\) in higher dimensions, Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\), Abstract Basins of Attraction, Extremal problems for mappings with generalized parametric representation in \({\mathbb {C}}^{n}\), On reachable families of the Loewner differential equation in several complex variables, An abstract approach to Loewner chains, Solving the Loewner PDE in complete hyperbolic starlike domains of \(\mathbb{C}^N\), Extremal Problems and g-Loewner Chains in $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces, Extensions of \(L^d\)-Loewner chains to higher dimensions, Solution of a Loewner chain equation in several complex variables, Approximation properties of univalent mappings on the unit ball in \(\mathbb{C}^n\), Extremal Problems for Mappings with g-Parametric Representation on the Unit Polydisc in ℂ n, Asymptotically spirallike mappings in reflexive complex Banach spaces, Approximation properties on spirallike domains of \(\mathbb{C}^n\), Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\), Extremal properties associated with univalent subordination chains in \(\mathbb C^n\), Convergence results for families of univalent mappings on the unit ball in C^n, Some applications of variation of Loewner chains in several complex variables, Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂⁿ, Classical and Stochastic Löwner–Kufarev Equations, A density result for parametric representations in several complex variables

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