Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 4(2), Pages 497–505
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-497-505 (Mi isu541) 		 
Mathematics

On Divergence Almost Everywhere of Fourier Series of Continuous Functions of Two Variables

N. Yu. Antonov

N. N. Krasovskii Institute of Mathematics and Mechanics UB RAS, 16, S. Kovalevskoy str., Ekaterinburg, 620990, Russia
Full-text PDF (185 kB)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-497-505
Abstract: We consider one type of convergence of double trigonometric Fourier series intermediate between convergence over squares and $\lambda$-convergence for $\lambda>1$. We construct an example of continuous functions of two variables, Fourier series of which diverges in this sense, almost everywhere.
Key words: multiple Fourier series, almost everywhere convergence.
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. Yu. Antonov, “On Divergence Almost Everywhere of Fourier Series of Continuous Functions of Two Variables”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014), 497–505
Citation in format AMSBIB
\Bibitem{Ant14}
\by N.~Yu.~Antonov
\paper On Divergence Almost Everywhere of Fourier Series of Continuous Functions of Two Variables
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 4(2)
\pages 497--505
\mathnet{http://mi.mathnet.ru/isu541}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-4-497-505}
\elib{https://elibrary.ru/item.asp?id=22625598}
Linking options:
  • https://www.mathnet.ru/eng/isu541
  • https://www.mathnet.ru/eng/isu/v14/i5/p497
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024