منابع مشابه
FUSION FRAMES IN HILBERT SPACES
Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.
متن کاملConstruction of continuous $g$-frames and continuous fusion frames
A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of CRI is constructed, and a number of reconstruction formulas are obtained. Also, new results are given on the duality of continuous fusion fram...
متن کاملFusion Frames
Novel technological advances significantly increased the demand to model applications requiring distributed processing. Frames are however too restrictive for such applications, wherefore it was necessary to go beyond classical frame theory. Fusion frames, which can be regarded as frames of subspaces, do satisfy exactly those needs. They analyze signals by projecting them onto multidimensional ...
متن کاملFusion Frames and G-Frames in Hilbert C*-Modules
The notion of frame has some generalizations such as frames of subspaces, fusion frames and g -frames. In this paper we introduce frames of submodules, fusion frames and g -frames in Hilbert C∗ -modules and we show that they share many useful properties with their corresponding notions in Hilbert space. We also generalize a perturbation result in frame theory to g -frames in Hilbert spaces.
متن کاملApproximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules
In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of $Q-$approximate duality of $g$-frames and ...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2010
ISSN: 1742-6596
DOI: 10.1088/1742-6596/213/1/012002