Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 1974, Volume 15, Issue 2, Pages 331–340 (Mi mzm7353)  
Cross products of complete orthonormal systems of functions

S. V. Zotikov

Moscow State Pedagogical Correspondence Institute
Full-text PDF (595 kB)
Abstract: The orthonormal kernel is a continuous analog for an orthonormal system of functions. The cross product of any two orthonormal systems, complete in $L_2$, is an example of a complete orthonormal kernel with respect to Lebesgue measure. In this note we continue our study of the properties of the cross product of a Haar system with an arbitrary orthonormal system of functions, complete in $L_2$, and totally bounded. We investigate certain properties of the cross product of a Haar system with another Haar system.
Received: 10.04.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 2, Pages 187–191
DOI: https://doi.org/10.1007/BF02102405
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. V. Zotikov, “Cross products of complete orthonormal systems of functions”, Mat. Zametki, 15:2 (1974), 331–340; Math. Notes, 15:2 (1974), 187–191
Citation in format AMSBIB
\Bibitem{Zot74}
\by S.~V.~Zotikov
\paper Cross products of complete orthonormal systems of functions
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 2
\pages 331--340
\mathnet{http://mi.mathnet.ru/mzm7353}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=348390}
\zmath{https://zbmath.org/?q=an:0304.42018|0302.42015}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 2
\pages 187--191
\crossref{https://doi.org/10.1007/BF02102405}
Linking options:
  • https://www.mathnet.ru/eng/mzm7353
  • https://www.mathnet.ru/eng/mzm/v15/i2/p331
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:141
    Full-text PDF :64
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024