Band-limited scaling and wavelet expansions

DOI10.1016/j.acha.2013.03.003zbMath1433.94030OpenAlexW2046722091MaRDI QIDQ2252182

Yanyan Li

Publication date: 16 July 2014

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2013.03.003

zbMATH Keywords

waveletsmodulus of continuitytempered distributionssampling theoremapproximation orderband-limited functionsscaling expansions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (16)

Approximation properties of periodic multivariate quasi-interpolation operators ⋮ Uniform approximation by multivariate quasi-projection operators ⋮ Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system ⋮ Approximation by multivariate Kantorovich-Kotelnikov operators ⋮ Quasi-projection operators in weighted \(L_p\) spaces ⋮ Structural characterization of deviations of quasi-projectors on the real line ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ On approximation properties of generalized Kantorovich-type sampling operators ⋮ Quantitative estimates for sampling type operators with respect to the Jordan variation ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ Approximation by multivariate quasi-projection operators and Fourier multipliers ⋮ Differential and falsified sampling expansions ⋮ Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels ⋮ Quasi-projection operators with applications to differential-difference expansions ⋮ A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods ⋮ Multivariate sampling-type approximation

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