Vestnik SamGU. Estestvenno-Nauchnaya Ser.
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 2(68), Pages 51–59 (Mi vsgu222)  

Mathematics

Norm equalization in rows of orthogonal matrix and uniform frames

M. A. Lapshina

Dept. of Theory of Functions and Functional Analysis, Samara State University, Samara, 443011, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The simplified versions of Casazza–Leon algorithms for the construction of the uniform Parseval–Steklov frame of arbitrary volume from a block-diagonal orthogonal matrix are described in the paper. There are examples of uniform Parseval–Steklov frames of volume 5 in $\mathbb{R}^2$ and of volume 7 in $\mathbb{R}^3$.
Keywords: admissible sequence, frame, Parseval–Steklov frame, uniform frame, frame operator.
Received: 09.02.2009
Revised: 09.02.2009
Document Type: Article
UDC: 517.51+517.98
Language: Russian
Citation: M. A. Lapshina, “Norm equalization in rows of orthogonal matrix and uniform frames”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 2(68), 51–59
Citation in format AMSBIB
\Bibitem{Lap09}
\by M.~A.~Lapshina
\paper Norm equalization in rows of orthogonal matrix and uniform frames
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 2(68)
\pages 51--59
\mathnet{http://mi.mathnet.ru/vsgu222}
Linking options:
  • https://www.mathnet.ru/eng/vsgu222
  • https://www.mathnet.ru/eng/vsgu/y2009/i2/p51
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :46
    References:18
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024