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, 1984, Volume 49, Issue 1, Pages 87–109
DOI: https://doi.org/10.1070/SM1984v049n01ABEH002699 (Mi sm2157) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the geometry of measurable sets in $N$-dimensional space on which generalized localization holds for multiple trigonometric Fourier series of functions from $L_p$, $p>1$

I. L. Bloshanskii
English version PDF (1093 kB) Citations (14) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1984v049n01ABEH002699
Abstract: The precise geometry is found of measurable sets in $N$-dimensional Euclidean space on which generalized localization almost everywhere holds for multiple Fourier series which are rectangularly summable.
Bibliography: 14 titles.
Received: 28.04.1982
Bibliographic databases:
UDC: 517.5
MSC: 42B05
Language: English
Original paper language: Russian
Citation: I. L. Bloshanskii, “On the geometry of measurable sets in $N$-dimensional space on which generalized localization holds for multiple trigonometric Fourier series of functions from $L_p$, $p>1$”, Math. USSR-Sb., 49:1 (1984), 87–109
Citation in format AMSBIB
\Bibitem{Blo83}
\by I.~L.~Bloshanskii
\paper On the geometry of measurable sets in $N$-dimensional space on which generalized localization holds for multiple trigonometric Fourier series of functions from~$L_p$, $p>1$
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 1
\pages 87--109
\mathnet{http://mi.mathnet.ru/eng/sm2157}
\crossref{https://doi.org/10.1070/SM1984v049n01ABEH002699}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=699740}
\zmath{https://zbmath.org/?q=an:0553.42004|0518.42020}
Linking options:
  • https://www.mathnet.ru/eng/sm2157
  • https://doi.org/10.1070/SM1984v049n01ABEH002699
  • https://www.mathnet.ru/eng/sm/v163/i1/p87
    • This publication is cited in the following 14 articles:
    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, 2025