C-erasure reconstruction error of \({GC}\)-frame of subspaces


Authors

Reza Ahmadi - Research Institute for Fundamental Science, University of Tabriz, Tabriz, Iran. Hosein Emamalipor - Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.


Abstract

In [M. H. Faroughi, R. Ahmadi, Math. Nachr., 284 (2010), 681-693], we generalized the concept of fusion frames, namely, c-fusion integral, which is a continuous version of the fusion frames and in [M. H. Faroughi, A. Rahimi, R. Ahmadi, Methods Funct. Anal. Topology, 16 (2010), 112-119] we extended it for generalized frames. In this article we give some important properties about it namely erasures of subspaces, the bound of gc-erasure reconstruction error for Parseval gc-frame of subspaces.


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ISRP Style

Reza Ahmadi, Hosein Emamalipor, C-erasure reconstruction error of \({GC}\)-frame of subspaces, Journal of Mathematics and Computer Science, 16 (2016), no. 4, 541-553

AMA Style

Ahmadi Reza, Emamalipor Hosein, C-erasure reconstruction error of \({GC}\)-frame of subspaces. J Math Comput SCI-JM. (2016); 16(4):541-553

Chicago/Turabian Style

Ahmadi, Reza, Emamalipor, Hosein. "C-erasure reconstruction error of \({GC}\)-frame of subspaces." Journal of Mathematics and Computer Science, 16, no. 4 (2016): 541-553


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