Sobolev Characterization of Solutions of Dilation Equations
From MaRDI portal
Publication:4017380
DOI10.1137/0523058zbMath0761.42014OpenAlexW2036959719MaRDI QIDQ4017380
Publication date: 16 January 1993
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0523058
waveletsregularitysolutionsmultiresolution analysisSobolev exponentsmoothnesspositive operatorrefinement equationdilation equationiterative interpolationtwo-scale quation
Positive matrices and their generalizations; cones of matrices (15B48) General harmonic expansions, frames (42C15)
Related Items (38)
Affine frame decompositions and shift-invariant spaces ⋮ Anisotropic bivariate subdivision with applications to multigrid ⋮ Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces ⋮ On the robustness of the damped \(V\)-cycle of the wavelet frequency decomposition multigrid method ⋮ Bounds for smoothness of refinable functions ⋮ Symmetric wavelet tight frames with two generators ⋮ Subdivision schemes in \(L_ p\) spaces ⋮ How does truncation of the mask affect a refinable function? ⋮ Regularity of refinable function vectors ⋮ Wavelets: Properties and approximate solution of a second kind integral equation ⋮ Wavelet bi-frames with uniform symmetry for curve multiresolution processing ⋮ Triangular \(\sqrt 3\)-subdivision schemes: The regular case ⋮ On the exact values of coefficients of coiflets ⋮ New results on approximate Hilbert pairs of wavelet filters with common factors ⋮ Correspondence between frame shrinkage and high-order nonlinear diffusion ⋮ The optimal coefficients in Daubechies wavelets ⋮ A WAVELET-TAYLOR GALERKIN METHOD FOR PARABOLIC AND HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS ⋮ \(M\)-band Burt-Adelson biorthogonal wavelets ⋮ Orthonormal compactly supported wavelets with optimal Sobolev regularity: Numerical results ⋮ Numerical stability of biorthogonal wavelet transforms ⋮ A stability criterion for biorthogonal wavelet bases and their related subband coding scheme ⋮ \(L_p\) solutions of refinement equations ⋮ Infinite convolution products and refinable distributions on Lie groups ⋮ Wavelet transforms versus Fourier transforms ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials ⋮ Eigenvalues of scaling operators and a characterization of $B$-splines ⋮ Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis ⋮ How smooth is your wavelet? Wavelet regularity via thermodynamic formalism ⋮ A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains ⋮ Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\) ⋮ Spline interpolation and wavelet construction ⋮ Construction of compactly supported \(M\)-band wavelets ⋮ Compactly supported refinable distributions in Triebel-Lizorkin spaces and Besov spaces ⋮ Refinable Functions: Positivity and Interpolation ⋮ Regularity of anisotropic refinable functions ⋮ The Sobolev regularity of refinable functions ⋮ Spectral properties of two-slanted matrices ⋮ Smoothness of rank \(M\) scaling functions
This page was built for publication: Sobolev Characterization of Solutions of Dilation Equations