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Construction of continuous g -frames and continuous fusion frames
Journal: Sahand Communications in Mathematical Analysis (Vol.4, No. 1)Publication Date: 2016-11-15
Authors : Mahdiyeh Khayyami; Akbar Nazari;
Page : 43-55
Keywords : Fusion frame; Continuous fusion frame; Continuous g-frame; Continuous resolution;
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Abstract
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 frames in Hilbert spaces.
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Last modified: 2017-01-28 14:33:58