The construction of \(r\)-regular wavelets for arbitrary dilations

DOI10.1007/BF02511222zbMath1003.42021OpenAlexW2115337995MaRDI QIDQ5949117

Marcin Bownik

Publication date: 14 January 2003

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59694

zbMATH Keywords

multiresolution analysiswavelet\(r\)-regular functiondilation matricesstrang-Fix condition

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (15)

On polynomial symbols for subdivision schemes ⋮ Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ Stable decomposition of homogeneous mixed-norm Triebel-Lizorkin spaces ⋮ Parabolic Besov regularity for the heat equation ⋮ Probability measures on solenoids corresponding to fractal wavelets ⋮ A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\) ⋮ A simple quincunx wavelet with support on triangles ⋮ Direct limits, multiresolution analyses, and wavelets ⋮ Meyer type wavelet bases in \(\mathbb R^{2}\) ⋮ On symmetric compactly supported wavelets with vanishing moments associated to \(E_d^{(2)}(\mathbb{Z})\) dilations ⋮ On construction of multivariate wavelets with vanishing moments ⋮ Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix ⋮ SYMMETRIC MULTIVARIATE WAVELETS ⋮ Wavelets, tiling, and spectral sets ⋮ Parseval frame wavelets with \(E_{n}^{(2)}\)-dilations

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