A Characterization of Affine Dual Frames in L2(Rn)

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Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space (2009, background): “, see [1, 5, 10, 13, 18, 20, 21, 22, 23]), Theorem 1 has several interesting features.”
A unified characterization of reproducing systems generated by a finite family, II (2002, background): “It is fair to say that, though the adjective “simple” is appropriate for describing the characterizations, it is not at all appropriate for a description of the proofs found in the literature (see [18, 15, 17, 29, 6, 2, 3, 8, 7]).”
A Characterization of Dimension Functions of Wavelets (2001, background): “The following result establishes a characterization of orthonormal multiwavelets (see [6, 7, 10, 11]).”
Atomic and molecular decompositions of anisotropic Besov spaces (2005, background): “7) imply that the wavelet systems {φQ : Q ∈ Q} and {ψQ : Q ∈ Q} form a pair of dual frames in L2(Rn); for more details, see [2,4].”