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Contemporary Mathematics. Fundamental Directions, 2007, Volume 21, Pages 149–167 (Mi cmfd82)  
This article is cited in 5 scientific papers (total in 5 papers)

Kœnigs type linearization models and asymptotic behavior of one-parameter semigroups

D. Shoikhet

Technion – Israel Institute of Technology
Full-text PDF (274 kB) Citations (5)
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Abstract: In this paper we study linear-fractional models for one-parameter semigroups of holomorphic mappings via Schröder's and Abel's functional equation. By using some limit schemes in the spirit of Kœnigs to solve those equation, we obtain new results on the asymptotic behavior of one-parameter semigroups having a boundary Denjoy–Wolff fixed point. In addition, we establish infinitisimal versions of the Burns-Krantz rigidity theorem for semigroups and their generators.
English version:
Journal of Mathematical Sciences, 2008, Volume 153, Issue 5, Pages 629–648
DOI: https://doi.org/10.1007/s10958-008-9140-1
Bibliographic databases:
UDC: 517.965, 517.54
Language: Russian
Citation: D. Shoikhet, “Kœnigs type linearization models and asymptotic behavior of one-parameter semigroups”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 21, PFUR, M., 2007, 149–167; Journal of Mathematical Sciences, 153:5 (2008), 629–648
Citation in format AMSBIB
\Bibitem{Sho07}
\by D.~Shoikhet
\paper K\oe nigs type linearization models and asymptotic behavior of one-parameter semigroups
\inbook Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A.~L.~Skubachevskii (Peoples' Friendship University of Russia)
\serial CMFD
\yr 2007
\vol 21
\pages 149--167
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd82}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336496}
\zmath{https://zbmath.org/?q=an:1172.30005}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 153
\issue 5
\pages 629--648
\crossref{https://doi.org/10.1007/s10958-008-9140-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249093663}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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