TY  - INPR
A1  - Elin, Mark
A1  - Shoikhet, David
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Analytic semigroups of holomorphic mappings and composition operators
N2  - In this paper we study the problem of analytic extension in parameter for a semigroup of holomorphic self-mappings of the unit ball in a complex Banach space and its relation to the linear continuous semigroup of composition operators. We also provide a brief review around this topic.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015) 6 
KW  - nonlinear semigroup
KW  - composition operator
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-77914
SN  - 2193-6943
VL  - 4
IS  - 6
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Gibali, Aviv
A1  - Shoikhet, David
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - On the convergence of continuous Newton method
N2  - In this paper we study the convergence of continuous Newton method for solving nonlinear equations with holomorphic mappings in complex Banach spaces. Our contribution is based on a recent progress in the geometric theory of spirallike functions. We prove convergence theorems and illustrate them by numerical simulations.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015)10 
KW  - Newton method
KW  - spirallike function
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-81537
SN  - 2193-6943
VL  - 4
IS  - 10
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  -