Multiwavelets: Regularity, Orthogonality, and Symmetry via Two–Scale Similarity Transform

DOI10.1111/1467-9590.00052zbMath0871.42026OpenAlexW2110733303MaRDI QIDQ4340424

Vasily Strela

Publication date: 10 June 1997

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00052

zbMATH Keywords

symmetryregularityorthogonalitymultiwaveletsmultiscaling functionmultiscaling functionstwo-scale similarity transform

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (17)

Two-direction two-scale similarity transformation of two-direction refinable function ⋮ Totally interpolating biorthogonal multiwavelet systems with approximation order ⋮ Construction for a class of interpolation multiscaling functions with dilation factora\(\geq \)3 ⋮ Nonstationary multiwavelets and multiwavelet packets in Sobolev space \(H^s({\mathbb{R}}^d)\) ⋮ Standard pairs and construction of multiwavelets using refinement masks satisfying sum rules of order one ⋮ Reproducing solutions to PDEs by scaling functions ⋮ New generalization of orthogonal wavelet bases ⋮ PRE-PROCESSING DESIGN FOR MULTIWAVELET FILTERS USING NEURAL NETWORKS ⋮ Parametric multi-wavelets on a hexagonal sampling lattice ⋮ Construction of refinable function vector via GTST ⋮ Construction of high order balanced multiscaling functions via PTST ⋮ HIGH APPROXIMATION ORDER BIORTHOGONAL MULTISCALING FUNCTIONS WITH DILATION FACTOR a ⋮ Construction of orthogonal multiwavelet bases ⋮ Multiwavelets in the generalized Sobolev space \(H^{\omega}_W(\mathbb R^n)\) ⋮ A construction of multiwavelets ⋮ An algorithm for constructing biorthogonal multiwavelets with higher approximation orders ⋮ Inverse Representation Theorem for Matrix Polynomials and Multiscaling Functions

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