Norm equalization in rows of orthogonal matrix and uniform frames
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 51-59

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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.
@article{VSGU_2009_2_a4,
     author = {M. A. Lapshina},
     title = {Norm equalization in rows of orthogonal matrix and uniform frames},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {51--59},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_2_a4/}
}
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M. A. Lapshina. Norm equalization in rows of orthogonal matrix and uniform frames. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 51-59. http://geodesic.mathdoc.fr/item/VSGU_2009_2_a4/