Localization of the generalized sampling series and its numerical application
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Publication:5470934
DOI10.1137/04061845XzbMath1105.94003MaRDI QIDQ5470934
Publication date: 2 June 2006
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Numerical differentiation (65D25) Approximation by other special function classes (41A30) Sampling theory in information and communication theory (94A20)
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A Fourier error analysis for radial basis functions and the discrete singular convolution on an infinite uniform grid. I: Error theorem and diffusion in Fourier space ⋮ A Lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations ⋮ Localization operator based on sampling multipliers ⋮ The near-equivalence of five species of spectrally-accurate radial basis functions (RBFs): Asymptotic approximations to the RBF cardinal functions on a uniform, unbounded grid ⋮ Complex analytic approach to the sinc-Gauss sampling formula ⋮ Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series ⋮ Discrete singular convolution for the generalized variable-coefficient Korteweg-de Vries equation
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