On conditionally positive definite dot product kernels

DOI10.1007/s10114-007-6227-4zbMath1142.42011OpenAlexW2057841942MaRDI QIDQ943552

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

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-6227-4

zbMATH Keywords

convexitygram matricesconditionally positive definite kernelsdot product kernelsconvexity in the sense of jensen

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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) Interpolation in approximation theory (41A05) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

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• Functions with positive differences
• Positive definite functions on spheres
• On the mathematical foundations of learning
• Matrix Analysis
• Some properties of convex functions of higher orders
• The Theory of Infinitely Divisible Matrices and Kernels

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