A version of Turán's problem for positive definite functions of several variables

DOI10.1134/S0081543812050100zbMath1304.41023MaRDI QIDQ742276

D. Kharzeev

Publication date: 18 September 2014

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

zbMATH Keywords

positive definite functionsTurán's problemmaximal spherical averages

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multidimensional problems (41A63) Inequalities involving other types of functions (26D07)

Related Items (1)

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

Cites Work

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• On the Turán and Delsarte problems for periodic positive-definite functions
• The taikov functional in the space of algebraic polynomials on the multidimensional Euclidean sphere
• An extension theorem for positive-definite functions
• Inequalities for Fourier transforms of positive functions
• Convolution roots of radial positive definite functions with compact support
• Одна экстремальная задача для тригонометрических рядов С неотрицательнымн коэффициентами
• An extremum problem for periodic functions supported in a ball

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