Linear independence of refinable distributions supported on \([0,2]\times [0,2]\)

DOI10.1007/BF02683823zbMath1006.42029OpenAlexW111649939MaRDI QIDQ1299847

Ning Bi, Qiyu Sun

Publication date: 15 August 2001

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02683823

zbMATH Keywords

refinement equationrefinable distribution

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Operations with distributions and generalized functions (46F10)

Cites Work

• Unnamed Item
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Orthogonality criteria for compactly supported scaling functions
• An Arithmetic Characterization of the Conjugate Quadrature Filters Associated to Orthonormal Wavelet Bases
• Necessary and sufficient conditions for constructing orthonormal wavelet bases
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Ten Lectures on Wavelets
• Stability and Linear Independence Associated with Wavelet Decompositions