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Analytic Semigroups of Holomorphic Mappings and Composition Operators

  • 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.

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Metadaten
Author details:Mark ElinGND, David Shoikhet, Nikolai Nikolaevich TarkhanovORCiDGND
DOI:https://doi.org/10.1007/s40315-017-0227-x
ISSN:1617-9447
ISSN:2195-3724
Title of parent work (English):Computational Methods and Function Theory
Publisher:Springer
Place of publishing:Heidelberg
Publication type:Article
Language:English
Date of first publication:2017/12/08
Publication year:2017
Release date:2021/11/29
Tag:Analytic extension; Composition operators; Holomorphic mappings; Non-linear semigroups
Volume:18
Issue:2
Number of pages:26
First page:269
Last Page:294
Funding institution:German Research Society (DFG)German Research Foundation (DFG) [TA 289/12-1]; RUDN University Programm 5-100
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Peer review:Referiert
Publishing method:Open Access / Green Open-Access
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