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20222026
most citedEigenvalues for Infinitesimal Generators of Semigroups of Composition Operators

3 citations · 3 across the 5 of their papers we have counts for

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5 papers

math.CV2026

Loewner chains with multiple boundary attraction points: A construction via close-to-convex functions

Georgios Nikolaidis, Eleftherios K. Theodosiadis, Konstantinos Zarvalis

In this work we construct multi-slit \textit{chordal Loewner chains} with multiple attraction points on the real line. We build a model domain with the use of close-to-convex funct…

math.CV2025★ 3 cited

Eigenvalues for Infinitesimal Generators of Semigroups of Composition Operators

Maria Kourou, Eleftherios K. Theodosiadis, Konstantinos Zarvalis

We study the eigenvalues for infinitesimal generators of semigroups of composition operators acting on Hardy spaces, Bergman spaces, and the Dirichlet space. Such semigroups are in…

math.CV2024

Rates of convergence for holomorphic semigroups of finite shift

Maria Kourou, Eleftherios K. Theodosiadis, Konstantinos Zarvalis

We study parabolic semigroups of finite shift in the unit disk with regard to the rate of convergence of their orbits to the Denjoy--Wolff point. We examine this rate in terms of E…

math.CV2023

Geometric description of some Loewner chains with infinitely many slits

Eleftherios Theodosiadis, Konstantinos Zarvalis

We study the chordal Loewner equation associated with certain driving functions that produce infinitely many slits. Specifically, for a choice of a sequence of positive numbers $(b…

math.AP2022

Explicit multi-slit Loewner flows and their geometry

Eleftherios Theodosiadis

In this text we make study of the geometry of the solutions to the radial and chordal Loewner PDEs, for a particular choice of time-dependent driving measures with multiple point m…