Box spline prewavelets of small support

DOI10.1006/jath.2001.3587zbMath1027.42032OpenAlexW2012792464MaRDI QIDQ5958884

O. V. Davydov, Tim N. T. Goodman, Martin D. Buhmann

Publication date: 18 June 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3587

zbMATH Keywords

Riesz basisbox splinesprewaveletssmall support

Mathematics Subject Classification ID

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

Related Items

Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces, ON THE ERRORS OF MULTIDIMENSIONAL MRA BASED ON NON-SEPARABLE SCALING FUNCTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wavelets and pre-wavelets in low dimensions
• Box splines
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
• On the construction of multivariate (pre)wavelets
• On the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines
• Ten Lectures on Wavelets
• On Compactly Supported Spline Wavelets and a Duality Principle
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)