Orthonormal expansions for translation-invariant kernels

Stationary stochastic processes (60G10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical radial basis function approximation (65D12)

Cites Work

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Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory

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