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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 2(68), Pages 51–59
(Mi vsgu222)
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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)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgu222 https://www.mathnet.ru/eng/vsgu/y2009/i2/p51
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