On the Splitting Trick and Wavelet Frame Packets

DOI10.1137/S0036141097323333zbMath0966.42024MaRDI QIDQ4509591

Di-Rong Chen

Publication date: 19 October 2000

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

waveletsRiesz basisshift-invariant spaceframeswavelet frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (19)

Shift-invariant spaces of tempered distributions and \(L_{p}\)-functions ⋮ Deconvolution: a wavelet frame approach ⋮ Multiwavelet packets and frame packets of \(L^2(\mathbb{R}^d)\) ⋮ On the splitting trick and wavelets packets with arbitrary dilation matrix of \(L^{2}\)(Rs) ⋮ Spectral graph wavelet packets frames ⋮ Dual wavelet frame packets with non-square iterative matrices ⋮ Wavelet packets and wavelet frame packets on local fields of positive characteristic ⋮ Unnamed Item ⋮ Supports of Fourier transforms of refinable frame functions and their applications to FMRA ⋮ Frames of periodic shift-invariant spaces ⋮ The characterization of a class of multivariate MRA and semi-orthogonal Parseval frame wavelets ⋮ Multivariate FMRAs and FMRA frame wavelets for reducing subspaces of \(L^2(\mathbb R^d)\) ⋮ On the spectrums of frame multiresolution analyses ⋮ A class of bidimensional FMRA wavelet frames ⋮ Explicit construction of tight nonuniform framelet packets on local fields ⋮ p-Wavelet frame packets on a half-line using the Walsh–Fourier transform ⋮ A class of tight framelet packets ⋮ Linear combinations of frames and frame packets ⋮ Explicit construction ofM-band tight framelet packets

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