Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 790–799
DOI: https://doi.org/10.4213/mzm11279 (Mi mzm11279) 		 
This article is cited in 8 scientific papers (total in 8 papers)

The Capacity of the Rational Preimage of a Compact Set

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (493 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11279
Abstract: It is shown that a well-known expression for the capacity of the preimage of a compact set under a polynomial map remains valid in the case of a rational map, provided that the standard capacity of the preimage is replaced by its capacity in the external field determined by the poles in $\mathbb C$ of the rational function determining the map.
Keywords: capacity, transfinite diameter, rational map, symmetric compact set.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07531
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported in part by the program “Modern Problems of Theoretical Mathematics” of Branch of Mathematics, Russian Academy of Sciences, by the Russian Foundation for Basic Research under grant 15-01-07531, and by the program “Leading Scientific Schools” under grant NSh-9110.2016.1.
Received: 01.06.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 781–790
DOI: https://doi.org/10.1134/S0001434616110171
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Mat. Zametki, 100:6 (2016), 790–799; Math. Notes, 100:6 (2016), 781–790
Citation in format AMSBIB
\Bibitem{Bus16}
\by V.~I.~Buslaev
\paper The Capacity of the Rational Preimage of a Compact Set
\jour Mat. Zametki
\yr 2016
\vol 100
\issue 6
\pages 790--799
\mathnet{http://mi.mathnet.ru/mzm11279}
\crossref{https://doi.org/10.4213/mzm11279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588904}
\elib{https://elibrary.ru/item.asp?id=27484937}
\transl
\jour Math. Notes
\yr 2016
\vol 100
\issue 6
\pages 781--790
\crossref{https://doi.org/10.1134/S0001434616110171}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391490500017}
\elib{https://elibrary.ru/item.asp?id=28562098}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85007038166}
Linking options:
  • https://www.mathnet.ru/eng/mzm11279
  • https://doi.org/10.4213/mzm11279
  • https://www.mathnet.ru/eng/mzm/v100/i6/p790
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:392
    Full-text PDF :50
    References:52
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024