Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 5, Pages 48–51 (Mi vmumm4496)  
Short notes

On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded $p_k$

S. M. Voronov

Moscow Technical University of Communications and Informatics
Full-text PDF (315 kB)
References:
PDF
HTML
Abstract: Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. Generalization of the test of convergence of Fourier series of the Vilenkin system in the case of unbounded quasimonotone $p_k$ for functions having a generalized bounded $\Phi$-fluctuation, which was earlier obtained in the case of bounded sequences $p_k$, is proved.
Key words: zero-dimensional group, characters of a group, Fourier series, Salem test, Vilenkin system.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00584
The study supported by the Russian Foundation for Basic Research, project no. 20-01-00584.
Received: 10.01.2022
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 5, Pages 247–249
DOI: https://doi.org/10.3103/S0027132222050084
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: S. M. Voronov, “On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded $p_k$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 5, 48–51; Moscow University Mathematics Bulletin, 77:5 (2022), 247–249
Citation in format AMSBIB
\Bibitem{Vor22}
\by S.~M.~Voronov
\paper On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded $p_k$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 5
\pages 48--51
\mathnet{http://mi.mathnet.ru/vmumm4496}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4535599}
\zmath{https://zbmath.org/?q=an:7660976}
\elib{https://elibrary.ru/item.asp?id=49553380}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 5
\pages 247--249
\crossref{https://doi.org/10.3103/S0027132222050084}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4496
  • https://www.mathnet.ru/eng/vmumm/y2022/i5/p48
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024