Mathematics of the USSR-Sbornik
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1986, Volume 55, Issue 1, Pages 121–132
DOI: https://doi.org/10.1070/SM1986v055n01ABEH002995 (Mi sm1961) 		 
On some classes of Jacobi orthogonal series

G. A. Fomin
English version PDF (430 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1986v055n01ABEH002995
Abstract: Conditions are given which can be imposed on the coefficients of an orthogonal series of Jacobi polynomials and which, when fulfilled, guarantee that the series is a Fourier–Jacobi series; and the question of its convergence in mean is solved.
The results are analogues of known theorems for cosine-series due to Kolmogorov, Szidon, Telyakovskii and the author.
Bibliography: 9 titles.
Received: 16.05.1984
Bibliographic databases:
UDC: 517.51
MSC: 42C10, 33A65
Language: English
Original paper language: Russian
Citation: G. A. Fomin, “On some classes of Jacobi orthogonal series”, Math. USSR-Sb., 55:1 (1986), 121–132
Citation in format AMSBIB
\Bibitem{Fom85}
\by G.~A.~Fomin
\paper On some classes of Jacobi orthogonal series
\jour Math. USSR-Sb.
\yr 1986
\vol 55
\issue 1
\pages 121--132
\mathnet{http://mi.mathnet.ru//eng/sm1961}
\crossref{https://doi.org/10.1070/SM1986v055n01ABEH002995}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=791321}
\zmath{https://zbmath.org/?q=an:0629.42014}
Linking options:
  • https://www.mathnet.ru/eng/sm1961
  • https://doi.org/10.1070/SM1986v055n01ABEH002995
  • https://www.mathnet.ru/eng/sm/v169/i1/p120
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024