Local linear independence of refinable vectors of functions

DOI10.1017/S0308210500000445zbMath0956.42021MaRDI QIDQ4507991

Ding-Xuan Zhou, Tim N. T. Goodman, Rong-Qing Jia

Publication date: 27 February 2001

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

shiftslocal linear independencerefinement maskrefinable vectorsvector refinement equationwavelets on bounded domainsapproximation by wavelets

Mathematics Subject Classification ID

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

Related Items (6)

Local reconstruction for sampling in shift-invariant spaces ⋮ Summation and intersection of refinable shift invariant spaces ⋮ Linear independence of the integer translates of compactly supported distributions and refinable vectors ⋮ Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation ⋮ Properties of locally linearly independent refinable function vectors ⋮ UNCONDITIONAL CONVERGENCE AND UNCONDITIONAL BASES IN HARDY SPACES

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