Stability and independence for multivariate refinable distributions

DOI10.1006/jath.1998.3255zbMath0933.42028OpenAlexW2029056898MaRDI QIDQ1293272

Thomas A. Hogan

Publication date: 28 June 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3255

zbMATH Keywords

waveletsdistributionsmultivariate approximationshiftsrefinable functionsbox splines

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Operations with distributions and generalized functions (46F10) Spline approximation (41A15)

Related Items (5)

Vector-stability of multiple vector refinable vectors ⋮ Stability of the shifts of global supported distributions ⋮ Accuracy conditions of multivariate refinable vector in frequency domain ⋮ Linear independence of the integer translates of compactly supported distributions and refinable vectors ⋮ Vector-Stability of Univariate Refinable Vectors

Cites Work

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• B-splines from parallelepipeds
• Linear independence of translates of a box spline
• Translates of multivariate splines
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Some characterizations for box spline wavelets and linear Diophantine equations
• Box splines
• Biorthogonal wavelet bases on \(\mathbb{R}^ d\)
• Approximation by Smooth Multivariate Splines
• Stationary subdivision
• Stability and Linear Independence Associated with Wavelet Decompositions
• Stability and Orthonormality of Multivariate Refinable Functions
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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