Construction of continuous $g$-frames and continuous fusion frames
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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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construction of continuous $g$-frames and continuous fusion frames
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Journal title
volume 04 issue 1
pages 43- 55
publication date 2016-11-01
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