An analog of Rudin's theorem for continuous radial positive definite functions of several variables

DOI10.1134/S0081543814020072zbMath1312.26029OpenAlexW2052851820MaRDI QIDQ483407

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814020072

zbMATH Keywords

positive definite functionsradial functionRudin's theorem

Mathematics Subject Classification ID

Special properties of functions of several variables, Hölder conditions, etc. (26B35) Representation and superposition of functions (26B40)

Cites Work

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• A version of Turán's problem for positive definite functions of several variables
• An extension theorem for positive-definite functions
• Inequalities for Fourier transforms of positive functions
• Convolution roots of radial positive definite functions with compact support

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