Entire majorants via Euler–Maclaurin summation

DOI10.1090/S0002-9947-06-04121-3zbMath1091.42002MaRDI QIDQ3378452

Friedrich Littmann

Publication date: 3 April 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

entire functionsBeurling functionextremal minorants and majorantssymmetric signum function

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (13)

Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis ⋮ Bandlimited approximations to the truncated Gaussian and applications ⋮ Perturbed interpolation formulae and applications ⋮ Extremal functions in de Branges and Euclidean spaces ⋮ Entire approximations for a class of truncated and odd functions ⋮ A VARIATION ON SELBERG'S APPROXIMATION PROBLEM ⋮ Some extremal functions in Fourier analysis. III ⋮ Some extremal functions in Fourier analysis. II ⋮ Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials ⋮ Interpolation formulas with derivatives in de Branges spaces ⋮ Zeros of Bernoulli-type functions and best approximations ⋮ Gaussian subordination for the Beurling-Selberg extremal problem ⋮ Extremal problems in de Branges spaces: the case of truncated and odd functions

Cites Work

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• A class of extremal functions and trigonometric polynomials
• A century of complex Tauberian theory
• Some extremal functions in Fourier analysis
• A Class of Extremal Functions for the Fourier Transform
• The analytic principle of the large sieve
• Hilbert's Inequality

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