REFINABLE SHIFT INVARIANT SPACES IN ℝd

DOI10.1142/S0219691305000889zbMath1075.42012arXivmath/0511421OpenAlexW2009979968MaRDI QIDQ5704736

Ursula M. Molter, Sigrid B. Heineken, Carlos A. Cabrelli

Publication date: 15 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0511421

zbMATH Keywords

accuracydilation matrixshift-invariant spaceshomogeneous functionsdilation equationrefinable functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Additive difference equations (39A10) General harmonic expansions, frames (42C15) Spline approximation (41A15)

Related Items (1)

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Cites Work

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• Accuracy of lattice translates of several multidimensional refinable functions
• Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory
• Two-scale homogeneous functions in wavelet analysis.
• Orthonormal bases of compactly supported wavelets
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Approximation properties of multivariate wavelets
• Wavelets, fractals, and radial basis functions

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