On approximation by translates and related problems in function theory

DOI10.1007/BF02384485zbMath0498.41009OpenAlexW1555907025MaRDI QIDQ1171227

Birger Faxen

Publication date: 1981

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384485

zbMATH Keywords

Fourier transformtranslates of a fixed function

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by other special function classes (41A30)

Related Items (4)

Complete and minimal exponential systems in spaces \(L^ p(\mathbb{R})\) ⋮ Some theorems concerning holomorphic Fourier transforms ⋮ A basis of weighted exponentials ⋮ The Müntz-Szasz theorem and the closure of translates

Cites Work

• Unnamed Item
• Analytic continuation across a linear boundary
• On the completeness of a set of translates
• Approximation Theorems for Translates
• On Approximation by Shifts and a Theorem of Wiener
• The Translates and Affine Transforms of Some Special Functions
• A Generalization of Carlson's Theorem

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