Affine frames, GMRA's, and the canonical dual

DOI10.4064/sm159-3-8zbMath1063.42023OpenAlexW1974896092MaRDI QIDQ4811124

Marcin Bownik

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/sm/Inf/159-3-8.html

zbMATH Keywords

Riesz basiswavelet framesaffine framesshift invariant spacescanonical dual frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (15)

On extensions of wavelet systems to dual pairs of frames ⋮ One-Dimensional Dyadic Wavelets ⋮ Wavelet frames and duals: a short survey ⋮ The canonical and alternate duals of a wavelet frame ⋮ Frame wavelets of local fields with no dual wavelet frames ⋮ Linear independence of Parseval wavelets ⋮ Affine and quasi-affine frames for rational dilations ⋮ A characterization of semiorthogonal Parseval wavelets in abstract Hilbert spaces ⋮ On the existence of multiresolution analysis for framelets ⋮ Unnamed Item ⋮ Approximately dual pairs of wavelet frames ⋮ Orthogonal frames of translates ⋮ A Jackson-type inequality associated with wavelet bases decomposition ⋮ Frames and Extension Problems I ⋮ Pre-wavelet bases in Lebesgue spaces

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