Riesz multiwavelet bases

DOI10.1016/j.acha.2005.10.002zbMath1140.42015OpenAlexW2002877527MaRDI QIDQ2368862

Soon-Geol Kwon, Bin Han, Sang Soo Park

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.acha.2005.10.002

zbMATH Keywords

SmoothnessRefinable function vectorsBiorthogonal multiwaveletsRefinable Hermite interpolantsRiesz multiwavelet basesVanishing moments

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (9)

Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ Small support spline Riesz wavelets in low dimensions ⋮ Minimum-energy multiwavelet frames with arbitrary integer dilation factor ⋮ Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting ⋮ Vector refinement equations with infinitely supported masks ⋮ Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets ⋮ Dual wavelet frames and Riesz bases in Sobolev spaces ⋮ Riesz multiwavelet bases generated by vector refinement equation ⋮ Derivative-orthogonal Riesz wavelets in Sobolev spaces with applications to differential equations

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