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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izv. Akad. Nauk SSSR Ser. Mat., 1989, Volume 53, Issue 5, Pages 944–970 (Mi izv1283)  

This article is cited in 2 scientific papers (total in 3 papers)

Groups of formal diffeomorphisms of the superline, generating functions for sequences of polynomials, and functional equations

V. M. Buchstaber, A. N. Kholodov


Abstract: One of the goals in this article is to extend the umbral calculus to sequences of superpolynomials. A study is made of the group of formal diffeomorphisms of the superline and its main subgroups (the umbral group, the group of formal diffeomorphisms of the line). A complete description of the one-parameter subgroups is obtained, and a faithful supermatrix representation of this group is constructed. Homogeneous coalgebras on the line and superline are studied. The class of nondegenerate homogeneous coalgebras on the line is completely described. Functional equations that are connected with these coalgebras and generalize the classical functional equations of Cauchy, Pexider, Abel, Levi–Civita, and Stäkel are introduced and solved.
Bibliography: 30 titles.

Full text: PDF file (2314 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1990, 35:2, 277–305

Bibliographic databases:

Document Type: Article
UDC: 512.81+517.58+517.965
MSC: Primary 05A40, 58A50; Secondary 14L05, 33A65
Received: 08.02.1988
Revised: 31.10.1988

Citation: V. M. Buchstaber, A. N. Kholodov, “Groups of formal diffeomorphisms of the superline, generating functions for sequences of polynomials, and functional equations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:5 (1989), 944–970; Math. USSR-Izv., 35:2 (1990), 277–305

Citation in format AMSBIB
\Bibitem{BucKho89}
\by V.~M.~Buchstaber, A.~N.~Kholodov
\paper Groups of formal diffeomorphisms of the superline, generating functions for sequences of polynomials, and functional equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 5
\pages 944--970
\mathnet{http://mi.mathnet.ru/izv1283}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1024450}
\zmath{https://zbmath.org/?q=an:0731.33018}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 2
\pages 277--305
\crossref{https://doi.org/10.1070/IM1990v035n02ABEH000704}


Linking options:
  • http://mi.mathnet.ru/eng/izv1283
  • http://mi.mathnet.ru/eng/izv/v53/i5/p944

    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

    This publication is cited in the following articles:
    1. A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. I. K. Babenko, S. A. Bogatyi, “On the group of substitutions of formal power series with integer coefficients”, Izv. Math., 72:2 (2008), 241–264  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. E. Yu. Netay, “Geometric differential equations on bundles of Jacobians of curves of genus 1 and 2”, Trans. Moscow Math. Soc., 74 (2013), 281–292  mathnet  crossref  mathscinet  zmath  elib
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:319
    Full text:122
    References:22
    First page:3

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