On linear independence of integer shifts of compactly supported distributions

DOI10.1016/j.jat.2015.08.008zbMath1331.41041OpenAlexW1593919095MaRDI QIDQ892172

N. E. Zubov

Publication date: 18 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.jat.2015.08.008

zbMATH Keywords

polynomial ringscompactly supported distributionslinear independenceHilbert Nullstellensatzinteger shifts of functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Related Items (1)

Analysis and convergence of Hermite subdivision schemes

Cites Work

• B-splines from parallelepipeds
• Linear independence of translates of a box spline
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• On the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines
• Ten Lectures on Wavelets
• Global Linear Independence and Finitely Supported Dual Basis
• On linear independence for integer translates of a finite number of functions
• On the Integer Translates of a Compactly Supported Function: Dual Bases and Linear Projectors
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