Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2015, Volume 70, Issue 6, Pages 1031–1050
DOI: https://doi.org/10.1070/RM2015v070n06ABEH004973 (Mi rm9687) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a new discretization of complex analysis

I. A. Dynnikov

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (592 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2015v070n06ABEH004973
Abstract: This paper develops an approach to discretization of complex analysis proposed by S. P. Novikov and the author in 2003. Under this approach discrete analytic functions are real-valued. It is shown that a large class of such functions on a lattice admits a canonical multiplication by the imaginary unit. Arbitrary lattices are considered for a triangular discretization and rhombic lattices for a quadrangular discretization.
Bibliography: 24 titles.
Keywords: discrete analytic functions, discrete holomorphic functions, discretization of complex analysis.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 18.09.2015
Bibliographic databases:
Document Type: Article
UDC: 517.962.22+517.547.9
MSC: Primary 39A12; Secondary 37J35
Language: English
Original paper language: Russian
Citation: I. A. Dynnikov, “On a new discretization of complex analysis”, Russian Math. Surveys, 70:6 (2015), 1031–1050
Citation in format AMSBIB
\Bibitem{Dyn15}
\by I.~A.~Dynnikov
\paper On a new discretization of complex analysis
\jour Russian Math. Surveys
\yr 2015
\vol 70
\issue 6
\pages 1031--1050
\mathnet{http://mi.mathnet.ru//eng/rm9687}
\crossref{https://doi.org/10.1070/RM2015v070n06ABEH004973}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3462715}
\zmath{https://zbmath.org/?q=an:06608781}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000372362900002}
\elib{https://elibrary.ru/item.asp?id=25707779}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962791889}
Linking options:
  • https://www.mathnet.ru/eng/rm9687
  • https://doi.org/10.1070/RM2015v070n06ABEH004973
  • https://www.mathnet.ru/eng/rm/v70/i6/p63
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:819
    Russian version PDF:263
    English version PDF:35
    References:72
    First page:81
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024