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Affine frames, GMRA's, and the canonical dual

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Bownik M., Weber E.

Studia Mathematica

2003

tom 159

nr 3

453-479

We show that if the canonical dual of an affine frame has the affine structure, with the same number of generators, then the core subspace V₀ is shift invariant. We demonstrate, however, that the converse is not true. We apply our results in the setting of oversampling affine frames, as well as in computing the period of a Riesz wavelet, answering in the affirmative a conjecture of Daubechies and Han. Additionally, we completely characterize when the canonical dual of a quasi-affine frame has the quasi-affine structure.

Ograniczanie wyników

1 Studia Mathematica

1 Bownik M.

1 Weber E.

1 2003

Wyniki wyszukiwania

Affine frames, GMRA's, and the canonical dual