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Tight frame completions with prescribed norms.(Technical report)
- Article from:
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Sampling Theory in Signal and Image Processing
- Article date:
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January 1, 2008
- Author:
- Massey, P.G.; Ruiz, M.A.
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Copyright informationCOPYRIGHT 2008 Sampling Publishing. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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Abstract
Let H be a finite dimensional (real or complex) Hilbert space and let [{[a.sub.i]}.sup.[infinity].sub.i=1] be a non-increasing sequence of positive numbers. Given a finite sequence of vectors F = [{[f.sub.i]}.sup.p.sub.i=1] in H we find necessary and sufficient conditions for the existence of r [member of] N [union] {[infinity]} and a Bessel sequence G = [{[g.sub.i].sup.r.sub.i=1] in H such that F [union] G is a tight frame for H and [[parallel][g.sub.i][parallel].sup.2] = [a.sub.i] for every i. Moreover, in this case we compute the minimum r [member of] N [union] {[infinity]} with this property. We also describe algorithms that perform completions of a given set ...
<[infinity]. We say that b majorizes a, noted b>
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ELECTROPHILIC HALOGENATION OF nido-5,6-C^sub 2^B^sub 8^H^sub 12^
Collection of Czechoslovak Chemical Communications;
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787 words
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787 words
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787 words
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787 words
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Ferranti, Louis Jr; Thadhani, Naresh N;
787 words
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Journal of Dairy Science;
August 1, 2004 ;
Okura, N; Yamagishi, N; Naito, Y; Kanno, K; Koiwa, M;
787 words
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cis-Regulatory Elements for Mesophyll-Specific Gene Expression in the...
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Gowik, Udo; Burscheidt, Janet; Akyildiz, Meryem; Schlue, Ute; Et al;
787 words
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Thermal Stability, Glass-Formation Ability, and Mechanical Properties of...
Metallurgical and Materials Transactions;
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Jiang, F; Chen, G; Li, W L; Wang, Z H; Chen, G L;
787 words
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Metallurgical and Materials Transactions;
January 1, 2006 ;
Tsau, Chun-Huei; Yeh, Jien-Wei; Jang, Jason Shian-Ching;
787 words
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A Reinvestigation of Phase Equilibria in the System Al^sub 2^O^sub...
Metallurgical and Materials Transactions;
April 1, 2005 ;
Hansson, Robert; Zhao, Baojun; Hayes, Peter C; Jak, Evgueni;
787 words
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Metallurgical and Materials Transactions;
October 1, 2004 ;
Fruehan, R J; Carkin, G;
787 words
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