[图书][B] Continuous semigroups of holomorphic self-maps of the unit disc

F Bracci, MD Contreras, S Díaz-Madrigal - 2020 - Springer
Continuous one-parameter semigroups of holomorphic self-maps of the unit disc D in the
complex plane C have been a subject of study since early 1900s, both for their intrinsic …

[图书][B] Holomorphic dynamics on hyperbolic Riemann surfaces

M Abate - 2022 - books.google.com
This completely revised and updated edition of the one variable part of the author's classic
older book" Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of …

[图书][B] Numerical range of holomorphic mappings and applications

M Elin, S Reich, D Shoiykhet - 2019 - Springer
The numerical range of (generally speaking, unbounded) linear operators plays a crucial
role in linear semigroup theory because of the celebrated Lumer–Phillips Theorem. For …

Evolution families and the Loewner equation I: the unit disc

B Filippo, MD Contreras… - Journal für die reine und …, 2012 - degruyter.com
In this paper we introduce a general version of the Loewner differential equation which
allows us to present a new and unified treatment of both the radial equation introduced in …

Evolution families and the Loewner equation II: complex hyperbolic manifolds

F Bracci, MD Contreras, S Díaz-Madrigal - Mathematische Annalen, 2009 - Springer
Mathematische Annalen Page 1 Math. Ann. (2009) 344:947–962 DOI 10.1007/s00208-009-0340-x
Mathematische Annalen Evolution families and the Loewner equation II: complex hyperbolic …

An abstract approach to Loewner chains

L Arosio, F Bracci, H Hamada, G Kohr - Journal d'Analyse Mathématique, 2013 - Springer
We present a new geometric construction of Loewner chains in one and several complex
variables which holds on complete hyperbolic complex manifolds and prove that there is …

[PDF][PDF] The evolution of Loewner's differential equations

M Abate, F Bracci, MD Contreras… - Eur. Math. Soc …, 2010 - scienzamedia.uniroma2.it
Charles Loewner was born as Karel Löwner on 29 May 1893 in Lány, Bohemia. He also
used the German spelling Karl of his first name; indeed, although he spoke Czech at home …

Filtrations of infinitesimal generators

F Bracci, MD Contreras, S Díaz-Madrigal… - Functiones et …, 2018 - projecteuclid.org
We study the problem of characterizing membership of normalized holomorphic functions of
the disc to the class of infinitesimal generators and their sectorial analytical extension. We …

The Denjoy–Wolff theorem in Cn

M Budzyńska - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
The Denjoy–Wolff theorem in Cn - ScienceDirect Skip to main contentSkip to article Elsevier logo
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The Julia-Wolff-Carath\'eodory theorem in convex finite type domains

L Arosio, M Fiacchi - arXiv preprint arXiv:2407.09199, 2024 - arxiv.org
Rudin's version of the classical Julia-Wolff-Carath\'eodory theorem is a cornerstone of
holomorphic function theory in the unit ball of $\mathbb {C}^ d $. In this paper we obtain a …