Khayyami, M., Nazari, A. (2016). Construction of continuous $g$-frames and continuous fusion frames. Sahand Communications in Mathematical Analysis, 04(1), 43-55.

Mahdiyeh Khayyami; Akbar Nazari. "Construction of continuous $g$-frames and continuous fusion frames". Sahand Communications in Mathematical Analysis, 04, 1, 2016, 43-55.

Khayyami, M., Nazari, A. (2016). 'Construction of continuous $g$-frames and continuous fusion frames', Sahand Communications in Mathematical Analysis, 04(1), pp. 43-55.

Khayyami, M., Nazari, A. Construction of continuous $g$-frames and continuous fusion frames. Sahand Communications in Mathematical Analysis, 2016; 04(1): 43-55.

Construction of continuous $g$-frames and continuous fusion frames

^{}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.