Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 1, Pages 94–96
DOI: https://doi.org/10.4213/faa2945 (Mi faa2945) 		 
Brief communications

Formal and Analytic Linearizability of Families of Conformal Map Germs $(\mathbb{C},0)\to(\mathbb{C},0)$

A. Yu. Fishkin

Independent University of Moscow
Full-text PDF (117 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa2945
Abstract: We consider a nondegenerate one-parameter family of germs of conformal maps of $(\mathbb{C}, 0)$ into $(\mathbb{C}, 0)$. We prove that such a family is analytically linearizable whenever it is formally linearizable. In this case, the linearizing coordinate change analytically depends on the parameter.
Keywords: conformal map germ, local family, resonance term, normal form, multiplier, small denominators, analytic conjugation.
Received: 25.09.2007
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 1, Pages 78–80
DOI: https://doi.org/10.1007/s10688-009-0011-4
Bibliographic databases:
Document Type: Article
UDC: 517.547.3
Language: Russian
Citation: A. Yu. Fishkin, “Formal and Analytic Linearizability of Families of Conformal Map Germs $(\mathbb{C},0)\to(\mathbb{C},0)$”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 94–96; Funct. Anal. Appl., 43:1 (2009), 78–80
Citation in format AMSBIB
\Bibitem{Fis09}
\by A.~Yu.~Fishkin
\paper Formal and Analytic Linearizability of Families of Conformal Map Germs
$(\mathbb{C},0)\to(\mathbb{C},0)$
\jour Funktsional. Anal. i Prilozhen.
\yr 2009
\vol 43
\issue 1
\pages 94--96
\mathnet{http://mi.mathnet.ru/faa2945}
\crossref{https://doi.org/10.4213/faa2945}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2503871}
\zmath{https://zbmath.org/?q=an:1271.37036}
\transl
\jour Funct. Anal. Appl.
\yr 2009
\vol 43
\issue 1
\pages 78--80
\crossref{https://doi.org/10.1007/s10688-009-0011-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264264100011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62749109656}
Linking options:
  • https://www.mathnet.ru/eng/faa2945
  • https://doi.org/10.4213/faa2945
  • https://www.mathnet.ru/eng/faa/v43/i1/p94
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:309
    Full-text PDF :183
    References:45
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024