Classification of refinable splines in \(\mathbb R^{d }\)

DOI10.1007/s00365-008-9036-9zbMath1189.42016OpenAlexW2472624332MaRDI QIDQ975340

Xin-Rong Dai, Yang Wang

Publication date: 9 June 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-008-9036-9

zbMATH Keywords

splinedilation matrixrefinement equationbox splinerefinable splineprincipal homogeneous polynomial

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)

Related Items (4)

A class of compactly supported refinable componentwise constant functions in \(\mathbb R^2\) ⋮ Newman cyclotomic polynomials, refinable splines and the Euler binary partition function ⋮ Construction of compactly supported refinable componentwise polynomial functions in \(\mathbb R^2\) ⋮ Summation and intersection of refinable shift invariant spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of refinable splines
• Structure of refinable splines
• On refinable sets
• Characterization of compactly supported refinable splines
• Self-affine tiles in \(\mathbb{R}^n\)
• Refinable functions with compact support
• Stationary subdivision
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets

This page was built for publication: Classification of refinable splines in \(\mathbb R^{d }\)