RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy MIAN:
Year:
Volume:
Issue:
Page:
Find






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


Tr. Mat. Inst. Steklova, 2017, Volume 298, Pages 58–66 (Mi tm3814)  

Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants

V. K. Beloshapka

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia

Abstract: All characteristics of analytic complexity of functions are invariant under a certain natural action (gauge pseudogroup $\mathcal G$). For the action of the pseudogroup $\mathcal G$, differential invariants are constructed and the equivalence problem is solved. Functions of two as well as of a greater number of variables are considered. Questions for further analysis are posed.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00592 а
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00592-a.


DOI: https://doi.org/10.1134/S0371968517030049

Full text: PDF file (183 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2017, 298, 51–59

Bibliographic databases:

Document Type: Article
UDC: 517.55+517.923+514.74
Received: January 24, 2017

Citation: V. K. Beloshapka, “Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Tr. Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 58–66; Proc. Steklov Inst. Math., 298 (2017), 51–59

Citation in format AMSBIB
\Bibitem{Bel17}
\by V.~K.~Beloshapka
\paper Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Tr. Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 58--66
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3814}
\crossref{https://doi.org/10.1134/S0371968517030049}
\elib{http://elibrary.ru/item.asp?id=28905721}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 298
\pages 51--59
\crossref{https://doi.org/10.1134/S0081543817060049}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000416139300004}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036630316}


Linking options:
  • http://mi.mathnet.ru/eng/tm3814
  • https://doi.org/10.1134/S0371968517030049
  • http://mi.mathnet.ru/eng/tm/v298/p58

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Number of views:
    This page:100
    References:5
    First page:10

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019