Polynomial spaces reproduced by elliptic scaling functions

DOI10.1142/S0219691315500423zbMath1332.41022arXiv1310.8425WikidataQ125329979 ScholiaQ125329979MaRDI QIDQ2788468

Victor G. Zakharov

Publication date: 19 February 2016

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8425

zbMATH Keywords

Strang-Fix conditionselliptic scaling functionsisotropic dilation matricespolynomial solutions to constant coefficient PDE'sreproduction of no scale-invariant spaces

Mathematics Subject Classification ID

Factorization of matrices (15A23) Multidimensional problems (41A63) Approximation by other special function classes (41A30) Polynomial solutions to PDEs (35C11)

Related Items (2)

Rotation properties of 2D isotropic dilation matrices ⋮ Reproducing solutions to PDEs by scaling functions

Cites Work

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• B-splines from parallelepipeds
• Stationary subdivision
• Approximation properties of multivariate wavelets
• Generalized Daubechies Wavelet Families
• ELLIPTIC SCALING FUNCTIONS AS COMPACTLY SUPPORTED MULTIVARIATE ANALOGS OF THE B-SPLINES

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