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  - JOUR
A1  - Elin, Mark
A1  - Shoikhet, David
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Analytic Semigroups of Holomorphic Mappings and Composition Operators
JF  - Computational Methods and Function Theory
N2  - In this manuscript we provide a review on the classical and resent results related to 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.
KW  - Non-linear semigroups
KW  - Composition operators
KW  - Analytic extension
KW  - Holomorphic mappings
Y1  - 2017
U6  - https://doi.org/10.1007/s40315-017-0227-x
SN  - 1617-9447
SN  - 2195-3724
VL  - 18
IS  - 2
SP  - 269
EP  - 294
PB  - Springer
CY  - Heidelberg
ER  - 
TY  - JOUR
A1  - Elin, Mark
A1  - Shoikhet, David
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Separation of boundary singularities for holomorphic generators
JF  - Annali di matematica pura ed applicata
N2  - We prove a theorem on separation of boundary null points for generators of continuous semigroups of holomorphic self-mappings of the unit disk in the complex plane. Our construction demonstrates rather strikingly the particular role of the binary operation au broken vertical bar given by 1/ f au broken vertical bar g = 1/f + 1/g on generators.
KW  - Semigroup
KW  - Holomorphic map
KW  - Unit disk
KW  - Angular derivatives
Y1  - 2011
U6  - https://doi.org/10.1007/s10231-010-0165-y
SN  - 0373-3114
VL  - 190
IS  - 4
SP  - 595
EP  - 618
PB  - Springer
CY  - Heidelberg
ER  -