scientific article

zbMath1253.42036MaRDI QIDQ3165641

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Publication date: 29 October 2012

Full work available at URL: http://www.ijpam.eu/contents/2012-75-4/8/index.html

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zbMATH Keywords

Walsh-Fourier transformWalsh functionmultiresolution \(p\)-analysisorthogonal vector valued wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Lacunary series of trigonometric and other functions; Riesz products (42A55)

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A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$ ⋮ Construction of vector valued wavelet packets on \(\mathbb{R}_+\) using Walsh-Fourier transform

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