An extension of Bittner and Urban’s theorem

DOI10.1090/S0025-5718-2012-02592-0zbMath1266.42087MaRDI QIDQ4911908

Junjian Zhao, You Ming Liu

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesBesov spacesHermite splinesB-spline waveletscompactly supported wavelet basesBittner and Urban's theoremHermite multiwavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Spline approximation (41A15)

Related Items (4)

An application of nonstationary wavelets ⋮ The convergence of wavelet expansion with divergence-free properties in vector-valued Besov spaces ⋮ Wavelet thresholding estimator on interval via interpolatory Hermite splines ⋮ Wavelet thresholding estimator on B s p , q ( R n )

Cites Work

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• Spline wavelets on the interval with homogeneous boundary conditions
• Wavelets, approximation, and statistical applications
• Compactly supported wavelet bases for Sobolev spaces
• Approximation with scaled shift-invariant spaces by means of quasi-projection operators
• Wiener's lemma for infinite matrices with polynomial off-diagonal decay
• On interpolatory divergence-free wavelets

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