Generalized cardinal B-splines: Stability, linear independence, and appropriate scaling matrices

DOI10.1007/BF02678429zbMath0868.41008OpenAlexW1990687657MaRDI QIDQ5961557

M. Neeb, Vera Latour, Stephan Dahlke

Publication date: 11 August 1997

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

Full work available at URL: https://doi.org/10.1007/bf02678429

zbMATH Keywords

stabilitywaveletspline approximationmulti-resolution analysisB-splineslinear independenceself-affine tiles

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (2)

A note on the linear independence of characteristic functions of self-similar sets ⋮ Equivalence of \(A\)-approximate continuity for self-adjoint expansive linear maps

Cites Work

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• On the construction of multivariate (pre)wavelets
• A note on the linear independence of characteristic functions of self-similar sets
• Orthonormal bases of compactly supported wavelets
• Stationary subdivision
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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