Strictly positive definite kernels on subsets of the complex plane

DOI10.1016/j.camwa.2006.04.006zbMath1153.41307OpenAlexW2060013394MaRDI QIDQ936700

Claudemir P. Oliveira, Ana Paula Peron, Valdir A. Menegatto

Publication date: 19 August 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.006

zbMATH Keywords

circlepositive definite kernelstrictly positive definite

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Representations of entire functions of one complex variable by series and integrals (30D10)

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Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Interpolation by periodic radial basis functions
• Interpolation on the complex Hilbert sphere using positive definite and conditionally negative definite kernels
• Strictly positive definite functions on a real inner product space
• Positive definite dot product kernels in learning theory
• Strict positive definiteness on spheres via disk polynomials
• Strictly positive definite kernels on the circle
• Strictly positive definite functions on the complex Hilbert sphere
• Strictly Hermitian positive definite functions
• Positive definite functions on spheres
• Matrix Analysis
• Strictly Positive Definite Functions on Spheres
• STRICT POSITIVE DEFINITENESS ON SPHERES
• A complex approach to strict positive definiteness on spheres
• Strictly positive definite functions on the unit circle
• Strictly positive definite functions on spheres in Euclidean spaces
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Strictly positive definite kernels on the hilbert sphere
• Some Problems Concerning Recurrence Sequences
• Positive definite kernels on complex spheres

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