A complex approach to strict positive definiteness on spheres

DOI10.1080/10652460108819326zbMath1025.42006OpenAlexW1969071675MaRDI QIDQ4409737

Ana Paula Peron, Valdir A. Menegatto

Publication date: 30 June 2003

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460108819326

zbMATH Keywords

spheresJacobi polynomialsstrict positive definitenessdisk polynomialsstrictly positive definite functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation in the complex plane (30E10) Positive definite functions in one variable harmonic analysis (42A82) Spherical harmonics (33C55) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Positive definite functions on complex spheres and their walks through dimensions ⋮ Strictly positive definite kernels on subsets of the complex plane ⋮ Exact point-distributions over the complex sphere ⋮ Characterization of strict positive definiteness on products of complex spheres

Cites Work

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• Positive definite kernels on the complex Hilbert sphere
• Positive definite functions on spheres
• Matrix Analysis
• Zonai harmonic functions from two dimensional analogs of jacobi polynomials
• The Addition Formula for Laguerre Polynomials
• STRICT POSITIVE DEFINITENESS ON SPHERES