Strictly positive definite kernels on the circle

DOI10.1216/rmjm/1181072211zbMath0913.43002OpenAlexW1988771740MaRDI QIDQ1912641

Valdir A. Menegatto

Publication date: 31 May 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072211

zbMATH Keywords

Schoenberg series representationstrictly positive definite and strictly conditionally negative definite functions

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Strictly positive definite kernels on a product of circles ⋮ \(L_{p}\)-error estimates for radial basis function interpolation on the sphere ⋮ Relations between Schoenberg coefficients on real and complex spheres of different dimensions ⋮ Equivalence and orthogonality of Gaussian measures on spheres ⋮ Strictly proper kernel scores and characteristic kernels on compact spaces ⋮ Strictly and non-strictly positive definite functions on spheres ⋮ Modeling Temporally Evolving and Spatially Globally Dependent Data ⋮ Strictly positive definite kernels on subsets of the complex plane ⋮ Strictly positive definite multivariate covariance functions on spheres ⋮ Gaussian processes on the support of cylindrical surfaces, with application to periodic spatio-temporal data

Cites Work

• Unnamed Item
• Interpolation by periodic radial basis functions
• Interpolation by periodic radial functions
• Positive definite functions on spheres
• Strictly Positive Definite Functions on Spheres
• Strictly positive definite kernels on the hilbert sphere

This page was built for publication: Strictly positive definite kernels on the circle