Strict positive definiteness on spheres via disk polynomials

DOI10.1155/S0161171202108076zbMath1039.42007OpenAlexW2162344985MaRDI QIDQ1848012

Ana Paula Peron, Valdir A. Menegatto

Publication date: 29 October 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50792

zbMATH Keywords

strict positive definitenessdisk polynomialszonal spherical harmonic analysis

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) General harmonic expansions, frames (42C15) Positive definite functions in one variable harmonic analysis (42A82) Approximation by polynomials (41A10) Other generalizations of function theory of one complex variable (32A30) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (4)

Conditionally positive definite kernels on Euclidean domains ⋮ Strictly positive definite kernels on subsets of the complex plane ⋮ Unitarily invariant strictly positive definite kernels on spheres ⋮ Differentiability of bizonal positive definite kernels on complex spheres

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