Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach
DOI10.1007/s11117-023-01022-3arXiv2205.07396OpenAlexW4389010033MaRDI QIDQ6180239
Publication date: 19 January 2024
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.07396
homogeneous spacesspherescovariance functionsstrictly positive definite kernelsnon-isotropic kernels
Harmonic analysis on homogeneous spaces (43A85) 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) Positive definite functions in one variable harmonic analysis (42A82) Interpolation in approximation theory (41A05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35)
Cites Work
- Strictly positive definite kernels on a product of spheres. II.
- Strictly and non-strictly positive definite functions on spheres
- From Schoenberg coefficients to Schoenberg functions
- Inequalities for Jacobi polynomials
- Inequalities for Legendre functions and Gegenbauer functions
- Strictly positive definite kernels on a product of spheres
- Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
- The addition formula for the eigenfunctions of the Laplacian
- Approximation in Sobolev spaces by kernel expansions
- Strictly positive definite kernels on the torus
- Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
- Regularity and approximation of Gaussian random fields evolving temporally over compact two-point homogeneous spaces
- Strict positive definiteness of convolutional and axially symmetric kernels on \(d\)-dimensional spheres
- Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces
- Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces
- Two-point homogeneous spaces
- Strictly positive definite kernels on compact two-point homogeneous spaces
- Strict positive definiteness on products of compact two-point homogeneous spaces
- A Primer on Radial Basis Functions with Applications to the Geosciences
- Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Spherical Radial Basis Functions, Theory and Applications
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