Bandlimited approximations to the truncated Gaussian and applications

DOI10.1007/s00365-012-9177-8zbMath1280.41018arXiv1106.0567OpenAlexW2055333241MaRDI QIDQ359601

Friedrich Littmann, Emanuel Carneiro

Publication date: 12 August 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0567

zbMATH Keywords

extremal functionstempered distributionsexponential typeone-sided best approximationtruncated Gaussian

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Approximation with constraints (41A29) Approximation by other special function classes (41A30) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (12)

Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis ⋮ Bounding S_n(t) on the Riemann hypothesis ⋮ The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle ⋮ One-sided band-limited approximations of some radial functions ⋮ On the argument of \(L\)-functions ⋮ Extremal functions in de Branges and Euclidean spaces ⋮ Entire approximations for a class of truncated and odd functions ⋮ A note on the zeros of zeta and \(L\)-functions ⋮ Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function ⋮ A VARIATION ON SELBERG'S APPROXIMATION PROBLEM ⋮ Interpolation formulas with derivatives in de Branges spaces ⋮ Extremal problems in de Branges spaces: the case of truncated and odd functions

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