On linear independence of integer translates of refinable vectors

DOI10.1006/jmaa.1997.5858zbMath0993.42020OpenAlexW2058614123MaRDI QIDQ1270886

Di-Rong Chen

Publication date: 5 June 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5858

zbMATH Keywords

compactly supported distributionsrefinement equationrefinable vector

Mathematics Subject Classification ID

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

Related Items (2)

Properties of locally linearly independent refinable function vectors ⋮ Algebraic properties of subdivision operators with matrix mask and their applications

Cites Work

• Translates of multivariate splines
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Regularity of refinable function vectors
• Biorthogonal wavelet bases on \(\mathbb{R}^ d\)
• Estimating The Support Of A Scaling Vector
• Stationary subdivision
• Stability and Linear Independence Associated with Wavelet Decompositions
• On linear independence for integer translates of a finite number of functions
• On the existence and constructions of orthonormal wavelets on $L_2(\mathbb R^s)$
• Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
• Unnamed Item
• Unnamed Item

This page was built for publication: On linear independence of integer translates of refinable vectors