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.
Author details: | Mark ElinGND, David Shoikhet, Nikolai Nikolaevich TarkhanovORCiDGND |
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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 |