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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 25
  3. Acta Mathematica Sinica, English Series : Volume 25, Issue 2, February 2009
  4. Expansion of frames to tight frames
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 25, Issue 12, December 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 11, November 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 10, October 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 9, September 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 8, August 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 7, July 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 6, June 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 5, May 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 4, April 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 3, March 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 2, February 2009
The classification of filiform Leibniz superalgebras of nilindex n + m
Precise rates in the law of the logarithm for the moment convergence in Hilbert spaces
Laws of the iterated logarithm for locally square integrable martingales
A mean value of Cochrane sum
Boundary reducible handle additions on simple 3-manifolds
Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space
The semiclassical limit in the quantum drift-diffusion model
Weighted composition operators of H ∞ into α-Bloch spaces on the unit ball
Optimal recovery on the classes of functions with bounded mixed derivative
Expansion of frames to tight frames
An iterative process for a finite family of pseudocontractive mappings
Small solutions of quadratic equations with prime variables in arithmetic progressions
Attractor for lattice system of dissipative Zakharov equation
Acta Mathematica Sinica, English Series : Volume 25, Issue 1, January 2009
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Expansion of frames to tight frames

Content Provider Springer Nature Link
Author Li, Deng Feng Sun, Wen Chang
Copyright Year 2009
Abstract We show that every Bessel sequence (and therefore every frame) in a separable Hilbert space can be expanded to a tight frame by adding some elements. The proof is based on a recent generalization of the frame concept, the g-frame, which illustrates that g-frames could be useful in the study of frame theory. As an application, we prove that any Gabor frame can be expanded to a tight frame by adding one window function.
Ending Page 292
Page Count 6
Starting Page 287
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 2
Volume Number 25
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2009-01-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Gabor frame Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) tight frame g-frame Mathematics General harmonic expansions, frames Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) frame expansion frame Wavelets and other special systems
Content Type Text
Resource Type Article
Subject Applied Mathematics
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