TY - JOUR AU - Ahmadi, Reza AU - Emamalipor, Hosein PY - 2016 TI - C-erasure reconstruction error of \({GC}\)-frame of subspaces JO - Journal of Mathematics and Computer Science SP - 541-553 VL - 16 IS - 4 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.016.04.07 DO - 10.22436/jmcs.016.04.07 ID - Ahmadi2016 ER - TY - JOUR TI - Sigma-Delta (\(\Sigma\Delta\)) quantization and finite frames AU - J. J. Benedetto AU - A. M. Powell AU - Ö. Ylmaz JO - IEEE Trans. Inform. Theory PY - 2006 DA - 2006// VL - 52 ID - Benedetto2006 ER - TY - JOUR TI - Frame-theoretic analysis of oversampled filter banks AU - H. Bolcskei AU - F. Hlawatsch AU - H. G. Feichtinger JO - IEEE Trans. Signal Process. PY - 1998 DA - 1998// VL - 46 ID - Bolcskei1998 ER - TY - JOUR TI - New tight frames of curvelets and optimal representations of objects with piecewise \(C^2\) singularities AU - E. J. Candés AU - D. L. Donoho JO - Comm. Pure Appl. Math. PY - 2004 DA - 2004// VL - 57 ID - Candés2004 ER - TY - JOUR TI - Equal-norm tight frames with erasures AU - P. G. Casazza AU - J. Kovačević JO - Adv. Comput. Math. PY - 2003 DA - 2003// VL - 18 ID - Casazza2003 ER - TY - JOUR TI - Frames of subspaces, Wavelets, frames and operator theory AU - P. G. Casazza AU - G. Kutyniok JO - Contemp. Math., Amer. Math. Soc., Providence, RI PY - 2004 DA - 2004// VL - 345 ID - Casazza2004 ER - TY - JOUR TI - Fusion frames and distributed processing AU - P. G. Casazza AU - G. Kutyniok AU - S. D. Li JO - Appl. Comput. Harmon. Anal. PY - 2008 DA - 2008// VL - 25 ID - Casazza2008 ER - TY - JOUR TI - Painless nonorthogonal expansions AU - I. Daubechies AU - A. Grossmann AU - Y. Meyer JO - J. Math. Phys. PY - 1986 DA - 1986// VL - 27 ID - Daubechies1986 ER - TY - JOUR TI - A class of nonharmonic Fourier series AU - R. J. Duffn AU - A. C. Schaeffer JO - Trans. Amer. Math. Soc. PY - 1952 DA - 1952// VL - 72 ID - Duffn1952 ER - TY - JOUR TI - Fusion integral AU - M. H. Faroughi AU - R. Ahmadi JO - Math. Nachr. PY - 2010 DA - 2010// VL - 284 ID - Faroughi2010 ER - TY - JOUR TI - gc-fusion frames AU - M. H. Faroughi AU - A. Rahimi AU - R. Ahmadi JO - Methods Funct. Anal. Topology PY - 2010 DA - 2010// VL - 16 ID - Faroughi2010 ER - TY - BOOK TI - Analysis now AU - G. K. Pedersen PB - Graduate Texts in Mathematics, Springer-Verlag PY - 1995 DA - 1995// CY - New York ID - Pedersen1995 ER - TY - JOUR TI - Continuous frames in Hilbert spaces AU - A. Rahimi AU - A. Najati AU - Y. N. Dehgan JO - Methods Funct. Anal. Topology PY - 2006 DA - 2006// VL - 12 ID - Rahimi2006 ER - TY - BOOK TI - Functional analysis AU - W. Rudin PB - McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co. PY - 1973 DA - 1973// CY - New York-Düsseldorf-Johannesburg ID - Rudin1973 ER - TY - BOOK TI - Real and complex analysis AU - W. Rudin PB - Third edition, McGraw-Hill Book Co. PY - 1987 DA - 1987// CY - New York ID - Rudin 1987 ER - TY - BOOK TI - \(C^*\)-algebras and \(W^*\)-algebras AU - S. Sakai PB - Reprint of the 1971 edition, Classics in Mathematics, SpringerVerlag PY - 1998 DA - 1998// CY - Berlin ID - Sakai 1998 ER - TY - JOUR TI - Representation theory for high-rate multipleantenna code design AU - A. Shokrollahi AU - B. Hassibi AU - B. M. Hochwald AU - W. Sweldens JO - IEEE Trans. Inform. Theory PY - 2001 DA - 2001// VL - 47 ID - Shokrollahi2001 ER -