Existence of multiple refinable distributions

DOI10.1307/mmj/1029005707zbMath0901.42022OpenAlexW1998722818MaRDI QIDQ1371326

Ding-Xuan Zhou

Publication date: 28 October 1997

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005707

zbMATH Keywords

waveletsmatrix refinement equationmultiple refinable distributions

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (12)

\(L_p\)-solutions of vector refinement equations with general dilation matrix ⋮ The limits of refinable functions ⋮ Multiple refinable Hermite interpolants ⋮ Multivariate nonhomogeneous refinement equations ⋮ Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations ⋮ \(L_p\) solutions of refinement equations ⋮ Stability of the shifts of global supported distributions ⋮ Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets ⋮ Matrix refinement equations: Continuity and smoothness ⋮ Inhomogeneous refinement equations ⋮ Spectra of subdivision operators ⋮ Convergence of cascade algorithms associated with nonhomogeneous refinement equations

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