On the support properties of scaling vectors

DOI10.1006/acha.1996.0018zbMath0858.42023OpenAlexW1995068417MaRDI QIDQ1815712

David K. Ruch, Patrick J. Van Fleet, Peter R. Massopust

Publication date: 12 March 1997

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

Full work available at URL: https://semanticscholar.org/paper/05151b0f3a2e79914d70ba3781fbfe918b3bcae1

zbMATH Keywords

Riesz basisspline waveletscoefficient matricessupport propertiesscaling vectorsfractal wavelets

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Spline approximation (41A15)

Related Items (17)

Totally interpolating biorthogonal multiwavelet systems with approximation order ⋮ Gröbner bases and wavelet design ⋮ A study of orthonormal multi-wavelets ⋮ Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\) ⋮ A geometric approach to the cascade approximation operator for wavelets ⋮ Explicitly given pairs of dual frames with compactly supported generators and applications to irregular B-splines ⋮ Sampling theorem for multiwavelet subspaces ⋮ A note on comprehensive backward biorthogonalization ⋮ INTERPOLATING SCALING VECTORS ⋮ A fast algorithm for constructing orthogonal multiwavelets ⋮ The support of a refinable vector satisfying an inhomogeneous refinement equation ⋮ Local sampling theorems for spaces generated by splines with arbitrary knots ⋮ A note on finite element wavelets ⋮ Matrix refinement equations: Continuity and smoothness ⋮ Orthogonality criteria for multi-scaling functions ⋮ Global support of a scaling vector ⋮ Matrix spectral factorization for SA4 multiwavelet

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