Title of article :
Space and Norm Redundancies in Frame Theory
Author/Authors :
NAZARI, A. shahid bahonar university of kerman - Faculty of Mathematics and Computer - Department o] Mathematics, كرمان, ايران , RADJABALIPOUR, M. shahid bahonar university of kerman - Faculty of Mathematics and Computer - Department o] Mathematics, كرمان, ايران
Abstract :
Let {(PHI)M: mM} be a generalized frame in Hilbert space H with frame bounds 0(LESS THAN) A(LESS THAN OR EQUAL)B ( LESS THAN)(INFINITY) and the analysis operatorT: H ( RIGHT ARROW) L^2 (MU)The paper studies the relation between (space) redundancy(TH)^ (UP TACK) and (norm) redundancy A. Also, in case dimH(LESS THAN) INFINITY, the effect of the redundancies on the reduction of the total energy of noise is studied.
Keywords :
Frame , Generalized frames , Noise , Redundancy
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
