Regularity of multiwavelets
From MaRDI portal
Publication:1371970
DOI10.1023/A:1018971524949zbMath0902.65095OpenAlexW146269660MaRDI QIDQ1371970
Thomas Sauer, Charles A. Micchelli
Publication date: 6 November 1997
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1018971524949
General harmonic expansions, frames (42C15) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items (38)
Analytic functions in local shift-invariant spaces and analytic limits of level dependent subdivision ⋮ From Full Rank Subdivision Schemes to Multichannel Wavelets: A Constructive Approach ⋮ On polynomial symbols for subdivision schemes ⋮ Interpolatory rank-1 vector subdivision schemes ⋮ Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets ⋮ Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution ⋮ Convergence of multivariate non-stationary vector subdivision schemes ⋮ Non‐separable multivariate filter banks from univariate wavelets ⋮ A study of biorthogonal multiple vector-valued wavelets ⋮ Existence and characterization of orthogonal multiple vector-valued wavelets with three-scale ⋮ Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ System theory and orthogonal multi-wavelets ⋮ Filters for anisotropic wavelet decompositions ⋮ From Hermite to stationary subdivision schemes in one and several variables ⋮ Multiple refinable Hermite interpolants ⋮ INTERPOLATING SCALING VECTORS ⋮ Factorization of Hermite subdivision operators from polynomial over-reproduction ⋮ \(m\)-band orthogonal vector-valued multiwavelets for vector-valued signals ⋮ Multifilters and prefilters: Uniqueness and algorithmic aspects ⋮ Multivariate refinable functions, differences and ideals -- a simple tutorial ⋮ Regularity of non-stationary subdivision: a matrix approach ⋮ Full rank positive matrix symbols: interpolation and orthogonality ⋮ Full rank interpolatory subdivision: a first encounter with the multivariate realm ⋮ Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets ⋮ Regularity of multivariate vector subdivision schemes ⋮ Differentiability of multivariate refinable functions and factorization ⋮ Regularity of refinable functions with exponentially decaying masks ⋮ Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils ⋮ Shortest multi-wavelet matrix filters for refinable vector splines ⋮ Existence and design of biorthogonal matrix-valued wavelets ⋮ Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets ⋮ Multidimensional periodic multiwavelets ⋮ Matrix spectral factorization for SA4 multiwavelet ⋮ The Sobolev regularity of refinable functions ⋮ Stability implies convergence of cascade algorithms in Sobolev space ⋮ Convergence of vector subdivision schemes in Sobolev spaces ⋮ Wavelets for multichannel signals ⋮ Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks
This page was built for publication: Regularity of multiwavelets