Representation of polynomials by linear combinations of radial basis functions

DOI10.1007/s00365-013-9183-5zbMath1264.41023OpenAlexW2009303604WikidataQ59293572 ScholiaQ59293572MaRDI QIDQ1943997

Vitaly Maiorov

Publication date: 3 April 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-013-9183-5

zbMATH Keywords

polynomialsradial basis functionslinear representation

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Related Items (1)

Limitations of shallow nets approximation

Cites Work

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• TDI-subspaces of \(C(\mathbb{R}^ d)\) and some density problems from neural networks
• Injectivity sets for the Radon transform over circles and complete systems of radial functions
• Approximation by radial basis functions with finitely many centers
• Almost optimal estimates for best approximation by translates on a torus
• Approximation by Ridge Functions and Neural Networks
• Sur certaines familles non fondamentales de fonctions continues

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