• 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

  • From page
    547
  • To page
    552
  • 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)
  • Record number

    2700109