On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces

DOI10.1016/j.jat.2022.105765zbMath1489.42004arXiv2007.14697OpenAlexW3045851654WikidataQ114164901 ScholiaQ114164901MaRDI QIDQ2139169

Jean C. Guella

Publication date: 17 May 2022

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14697

zbMATH Keywords

universalGaussian kernelsconditionally negative definite\( C_0\)-universalGneiting classhyperbolic kernelsintegrally strictly positive definitekernels on hyperbolic spaces

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (5)

Positive definite functions on products of metric spaces by integral transforms ⋮ Generalization of the energy distance by Bernstein functions ⋮ Generalization of the HSIC and distance covariance using PDI kernels ⋮ Characterization theorems for pseudo cross-variograms ⋮ A Fock space approach to the theory of kernel functions

Uses Software

• DLMF

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Self-representations of the Möbius group
• Distances hilbertiennes invariantes sur un espace homogene
• On the mathematical foundations of learning
• Hilbert space embeddings and metrics on probability measures
• Distance Functions for Reproducing Kernel Hilbert Spaces
• Dense Algebras of Functions in L p
• VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES AND UNIVERSALITY
• Learning Theory
• Support Vector Machines
• Nonseparable, Stationary Covariance Functions for Space–Time Data
• Kernel Distribution Embeddings: Universal Kernels, Characteristic Kernels and Kernel Metrics on Distributions
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Gneiting Class, Semi-Metric Spaces and Isometric Embeddings
• Operator-valued positive definite kernels and differentiable universality
• Matérn Cross-Covariance Functions for Multivariate Random Fields
• Universality, Characteristic Kernels and RKHS Embedding of Measures
• Theory of Reproducing Kernels
• Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces