Reproducing Properties of Differentiable Mercer-Like Kernels on the Sphere

DOI10.1080/01630563.2012.660590zbMath1255.45001OpenAlexW2020849776MaRDI QIDQ4899072

Thaís Jordão, Valdir A. Menegatto

Publication date: 4 January 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.660590

zbMATH Keywords

reproducing kernel Hilbert spacesspheresinclusion mapMercer kernelsGaussian kernelsreproducing propertyterm-by-term differentiationbi-zonal kernels

Mathematics Subject Classification ID

Integral operators (45P05) Positive definite functions in one variable harmonic analysis (42A82) Eigenvalue problems for integral equations (45C05) Approximations and expansions (41A99) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (1)

Error analysis on Hérmite learning with gradient data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalues of integral operators defined by smooth positive definite kernels
• Hermite learning with gradient data
• Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels
• Derivative reproducing properties for kernel methods in learning theory
• Application of integral operator for regularized least-square regression
• Differentiable Positive Definite Kernels on Spheres
• Learning Theory
• Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory

This page was built for publication: Reproducing Properties of Differentiable Mercer-Like Kernels on the Sphere