@article { author = {Nazari, A.}, title = {Space and Norm Redundancies in Frame Theory}, journal = {Scientia Iranica}, volume = {15}, number = {6}, pages = {-}, year = {2008}, publisher = {Sharif University of Technology}, issn = {1026-3098}, eissn = {2345-3605}, doi = {}, abstract = {Let f'm : m 2 Mg be a generalized frame in Hilbert space H with frame bounds 0 < A B < 1 and the analysis operator T : H ! L2( ). The paper studies the relation between (space) redundancy (TH)? and (norm) redundancy A. Also, in case dimH < 1, the e ect of the redundancies on the reduction of the total energy of noise is studied.}, keywords = {Frame,Generalized frames,noise,Redundancy}, url = {https://scientiairanica.sharif.edu/article_3089.html}, eprint = {} }