Uniqueness of the continuation of a certain function to a positive definite function

DOI10.1134/S0001434620030311zbMath1442.42025OpenAlexW3017481277MaRDI QIDQ2192015

Anatoliy Manov

Publication date: 26 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620030311

zbMATH Keywords

extremal problemsnonnegative trigonometric polynomialspiecewise linear functionsBochner-Khinchine theoremextension of positive definite functions

Mathematics Subject Classification ID

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

Cites Work

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• Curiosities of characteristic functions
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• Über Gitterpunkte in konvexen Körpern und ein damit zusammenhängendes Extremalproblem
• Inequalities for Fourier transforms of positive functions
• Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class W_M^r,b
• An extremum problem for periodic functions supported in a ball

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