Some generalizations of the problem of positive definiteness of a piecewise linear function

DOI10.1016/j.jmaa.2022.126864OpenAlexW4308987709MaRDI QIDQ2102149

Viktor P. Zastavnyi, Anatoliy Manov

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126864

zbMATH Keywords

Fourier transformBochner theoremBessel functionspositive definite functionsSchoenberg theorem

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

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• On potentially negative space time covariances obtained as sum of products of marginal ones
• Radial positive definite functions generated by Euclid's hat
• Multivariate characteristic and correlation functions
• Some problems related to completely monotone positive definite functions
• On positive definiteness of some radial functions
• Positive definiteness of piecewise-linear function
• NEW THEOREMS ON THE MEAN FOR SOLUTIONS OF THE HELMHOLTZ EQUATION
• Positive-definite splines of special form

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