ON INTEGRAL ESTIMATES OF NONNEGATIVE POSITIVE DEFINITE FUNCTIONS

DOI10.1017/S0004972717000119zbMath1371.42006arXiv1612.00235OpenAlexW2559556110MaRDI QIDQ4975601

Andrey Efimov, Marcell Gaál, Szilárd Gy. Révész

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00235

zbMATH Keywords

Fourier transformSchur's theoremWiener's problemconvolution squarenonnegative positive definite function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities for sums, series and integrals (26D15) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (3)

Integral comparisons of nonnegative positive definite functions on LCA groups ⋮ Об условии удвоения для положительно определенных функций на полуоси со степенным весом ⋮ Doubling condition at the origin for non-negative positive definite functions

Cites Work

• Turán's extremal problem on locally compact abelian groups
• On the set of joint representatives of two congruence classes
• New upper bounds on sphere packings. II
• New upper bounds on sphere packings. I
• Wiener's problem for positive definite functions
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• On the Turán and Delsarte problems for periodic positive-definite functions
• Failure of Wiener's property for positive definite periodic functions
• MAJORANT PROBLEMS FOR FOURIER COEFFICIENTS
• Doubling condition at the origin for non-negative positive definite functions
• Convolution roots of radial positive definite functions with compact support
• A Problem of Wiener and the Failure of a Principle for Fourier Series with positive Coefficients

This page was built for publication: ON INTEGRAL ESTIMATES OF NONNEGATIVE POSITIVE DEFINITE FUNCTIONS