TY - JOUR
ID - 22217
TI - Construction of continuous $g$-frames and continuous fusion frames
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Khayyami, Mahdiyeh
AU - Nazari, Akbar
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
Y1 - 2016
PY - 2016
VL - 04
IS - 1
SP - 43
EP - 55
KW - Fusion frame
KW - Continuous fusion frame
KW - Continuous $g$-frame
KW - Continuous resolution
DO -
N2 - 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.
UR - http://scma.maragheh.ac.ir/article_22217.html
L1 - http://scma.maragheh.ac.ir/article_22217_ae4c4518ab8f84876feb316820fad8b5.pdf
ER -