Document Type: Research Paper

**Authors**

Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.

**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.

**Keywords**

**Main Subjects**

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