Introduction to Finite Frame Theory - Frame Research Center

Index
Adjoint operator, 8
Analysis operator, 17
Bessel sequence, 13
bijective, 8
Canonical dual frame, 25
Chebyshev algorithm, 30
Complete system, 5
Condition number, 11
Conjugate gradient method, 31
Decomposition, 2
DFT-matrix, 16
Dual frame, 26
Eigenvalue, 10
Eigenvector, 10
Equal-norm frame, 13
Equi-angular frame, 14
Exact frame, 14
Expansion, 3
Frame, 13
Frame algorithm, 29
Frame bound, 13
Frame coefficient, 14
Frame operator, 19
Fusion frame, 45
Generic frame, 37
Grammian operator, 24
injective, 8
Isometry, 10
Isomorphic frames, 40
Kernel of a linear operator, 7
Matrix representation, 7
Mercedes-Benz frame, 15
Moore-Penrose inverse, 8
Norm of a linear operator, 8
Normal operator, 10
normalized, 5
Optimal frame bound, 13
orthogonal, 5
Orthogonal projection, 12
Orthogonally diagonizable, 10
orthonormal, 5
Orthonormal basis, 5
Parseval frame, 13
Parseval’s Identity, 5
Positive operator, 10
Probabilistic frame, 45
Projection, 12
Pseudo-inverse, 8
Range of a linear operator, 7
Rank of a linear operator, 7
Redundancy, 39
Riesz basis, 9
Scalable frame, 34
Self-adjoint operator, 10
Singular value decomposition, 9
Spanning set, 5
Spectral tetris, 35
surjective, 8
Synthesis operator, 18
Tight frame, 13
Trace of a linear operator, 12
Unit-norm frame, 13
Unitarily isomorphic frames, 41
Unitary operator, 10
53