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, 2020, Volume 108, Issue 2, Pages 285–290
DOI: https://doi.org/10.4213/mzm12531 (Mi mzm12531) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Factorization Problem on a Smooth Two-Dimensional Surface

A. P. Soldatovabc

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
b Moscow Center for Fundamental and Applied Mathematics
c Regional mathematical center of Southern Federal University, Rostov-on-Don
Full-text PDF (406 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12531
Abstract: Given a continuous complex-valued function $a$ and nonnegative functions $\rho_1$ and $\rho_2$ on a two-dimensional smooth connected closed surface such that $|a|=\rho_1\rho_2$ and the functions $\rho_1$ and $\rho_2$ have no common zeros, it is required to find complex-valued continuous functions $a_1$ and $a_2$ satisfying the conditions $a_1a_2=a$ and $|a_j|=\rho_j$. Necessary and sufficient solvability conditions for this problem are given.
Keywords: closed surface, factorization problem, Cauchy index.
Received: 05.08.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 2, Pages 272–276
DOI: https://doi.org/10.1134/S0001434620070275
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. P. Soldatov, “A Factorization Problem on a Smooth Two-Dimensional Surface”, Mat. Zametki, 108:2 (2020), 285–290; Math. Notes, 108:2 (2020), 272–276
Citation in format AMSBIB
\Bibitem{Sol20}
\by A.~P.~Soldatov
\paper A Factorization Problem on a Smooth Two-Dimensional Surface
\jour Mat. Zametki
\yr 2020
\vol 108
\issue 2
\pages 285--290
\mathnet{http://mi.mathnet.ru/mzm12531}
\crossref{https://doi.org/10.4213/mzm12531}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4133417}
\elib{https://elibrary.ru/item.asp?id=45428064}
\transl
\jour Math. Notes
\yr 2020
\vol 108
\issue 2
\pages 272--276
\crossref{https://doi.org/10.1134/S0001434620070275}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000556090300027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85089030190}
Linking options:
  • https://www.mathnet.ru/eng/mzm12531
  • https://doi.org/10.4213/mzm12531
  • https://www.mathnet.ru/eng/mzm/v108/i2/p285
    • This publication is cited in the following 1 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:232
    Full-text PDF :19
    References:33
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024