Conditionally negative definite functions

DOI10.1007/S00009-018-1239-0zbMath1404.42011OpenAlexW2890735080MaRDI QIDQ1756943

Yogesh Kapil, Mandeep Singh, Anchal Aggarwal, Rajinder Pal

Publication date: 28 December 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1239-0

zbMATH Keywords

infinitely divisibleoperator monotonepositive definiteconditionally negative definite

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82)

Related Items (7)

Matrix valued positive definite kernels related to the generalized Aitken's integral for Gaussians ⋮ Positive definite functions on products of metric spaces by integral transforms ⋮ Strictly positive definite functions by integral transforms ⋮ On a question of Bhatia and Jain. III ⋮ A Gneiting-like method for constructing positive definite functions on metric spaces ⋮ Inertia of some conditionally negative definite matrices ⋮ Positive definiteness on products via generalized Stieltjes and other functions

Cites Work

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• On some positive definite functions
• Loewner matrices and operator convexity
• Inertia of the matrix \([(p_i+p_j)^r\)]
• On infinite divisibility of positive definite functions arising from operator means
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Positive definiteness of functions with applications to operator norm inequalities
• Positive powers of certain conditionally negative definite matrices
• Bernstein functions. Theory and applications

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