This survey considers problems of analysis and certain related areas in which semigroups of
analytic functions with respect to the operation of composition appear naturally. The main …

Рассматриваются задачи анализа и некоторых смежных областей, в ко торых
естественным образом возникают полугруппы аналитических функ ций относительно …

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 …

We analyze Loewner traces driven by functions asymptotic to κ 1− t. We prove a stability
result when κ≠ 4, and we show that κ= 4 can lead to nonlocally connected hulls. As a …

In this paper we introduce a general version of the notion of Loewner chains which comes
from the new and unified treatment, given in [Bracci, F., Contreras, MD and Díaz-Madrigal …

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 …

In this paper we present a historical and scientific account of the development of the theory
of the Löwner–Kufarev classical and stochastic equations spanning the 90-year period from …

Among diversity of frameworks and constructions introduced in Loewner Theory by different
authors, one can distinguish two closely related but still different ways of reasoning, which …

For a non-tangential slit γ (t), the behavior of the driving function λ (t) near zero in the
Loewner equation is well understood; for tangential slit, the situation is less clear. In this …

For a tangential slit, the behavior of the driving function in the Loewner differential equation
is less clear. In this paper, we investigate the tangential slit φ (Γ), where φ is a univalent real …