Generating sets for Beurling algebras

DOI10.1016/j.jat.2005.12.001zbMath1127.42012OpenAlexW2086243710MaRDI QIDQ2493078

Yanyan Li

Publication date: 9 June 2006

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11250/223603

zbMATH Keywords

generating functionBeurling algebragenerating setcompleteness of translates

Mathematics Subject Classification ID

Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items

Completeness of discrete translates in the Hardy space 𝐻¹(ℝ), Cyclicity of bicyclic operators, Schauder frames and completeness of translates in the Orlicz space, Reconstruction of Signals: Uniqueness and Stable Sampling, Cyclicity of bicyclic operators and completeness of translates, Discrete translates in function spaces

Cites Work

• Completeness in \(L^1(\mathbb R)\) of discrete translates
• Esterle's proof of the Tauberian theorem for Beurling algebras
• Remarks concerning completeness of translates in function spaces
• Completeness of integer translates in function spaces on \(\mathbb{R}\)
• Almost integer translates. Do nice generators exist?
• On Fourier transforms of measures with compact support
• Completeness in L2(ℝ) of almost integer translates
• Beurling Algebras and the Generalized Fourier Transform
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