Orthogonality criteria for multi-scaling functions

DOI10.1006/acha.1997.0233zbMath0915.42023OpenAlexW2071385602MaRDI QIDQ1271625

Jian-ao Lian

Publication date: 10 November 1998

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.1997.0233

zbMATH Keywords

multi-waveletsorthonormalitycompactly supported functionsmulti-scaling functionstwo-scale matrix equationstwo-scale matrix symbolsuni-scaling functionsuniwavelets

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (13)

On stability and orthogonality of refinable functions ⋮ Construction for a class of interpolation multiscaling functions with dilation factora\(\geq \)3 ⋮ Biorthogonal two-direction refinable function and two-direction wavelet ⋮ Orthogonality criteria for compactly supported refinable functions and refinable function vectors ⋮ Two-direction refinable functions and two-direction wavelets with high approximation order and regularity ⋮ Two-direction poly-scale refinability ⋮ Orthogonal two-direction multiscaling functions ⋮ A CLASS OF ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTIONS AND TWO-DIRECTION WAVELETS ⋮ Construction of refinable function vector via GTST ⋮ Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets ⋮ Construction of a class of compactly supported symmetric and balanced refinable function vector by GTST ⋮ Poly-scale refinable function and their properties ⋮ An algorithm for constructing biorthogonal multiwavelets with higher approximation orders

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