%0 Journal Article
%T Construction of continuous $g$-frames and continuous fusion frames
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Khayyami, Mahdiyeh
%A Nazari, Akbar
%D 2016
%\ 11/01/2016
%V 04
%N 1
%P 43-55
%! Construction of continuous $g$-frames and continuous fusion frames
%K Fusion frame
%K Continuous fusion frame
%K Continuous $g$-frame
%K Continuous resolution
%R
%X 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.
%U http://scma.maragheh.ac.ir/article_22217_ae4c4518ab8f84876feb316820fad8b5.pdf