On a Discrete Turán Problem for ℓ-1 Radial Functions

DOI10.1007/978-3-319-08801-3_19zbMath1316.42012OpenAlexW169256275MaRDI QIDQ5249780

Elena E. Berdysheva, Hubert Berens

Publication date: 12 May 2015

Published in: New Perspectives on Approximation and Sampling Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08801-3_19

zbMATH Keywords

positive definite functionsmonotonicity propertiesTurán's problemspherical Bessel functions\(\ell\)-\(1\) radial Fourier transforms

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Positive definite functions in one variable harmonic analysis (42A82) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Turán's extremal problem on locally compact abelian groups
• On a Turán problem for \(\ell-1\)-radial, positive-definite functions. II
• On alpha-symmetric multivariate distributions
• Hypergeometric functions as a tool for summability of the Fourier integral
• On a Turán problem for \(\ell-1\)-radial, positive-definite functions
• Fourier series with positive coefficients
• l-1 summability of multiple Fourier integrals and positivity
• On a monotonic property of certain Sturm-Liouville functions

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