A generalization of Schep's theorem on the positive definiteness of a piecewise linear function

DOI10.1134/S0001434620050272zbMath1443.43006OpenAlexW3046484228MaRDI QIDQ2192167

Viktor P. Zastavnyi

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620050272

zbMATH Keywords

Fourier transformpositive definite functionsBochner-Khinchine theorempiece-wise linear functions with equidistant nodes

Mathematics Subject Classification ID

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

Related Items

Wiener algebras and trigonometric series in a coordinated fashion

Cites Work

• On the positive definiteness of some functions related to the Schoenberg problem
• On Abel-Poisson type and Riesz means
• Measurable Hermitian positive functions
• Positive definite functions depending on the norm
• Multivariate characteristic and correlation functions
• On positive definite piecewise linear functions and their applications
• Restrictions of Fourier transforms and extension of Fourier sequences
• On Positive-Definite Functions
• On positive definiteness of some functions
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