Approximation by Nonfundamental Sequences of Translates

DOI10.2307/2042268zbMath0398.30019OpenAlexW4255231010MaRDI QIDQ4182978

Richard A. Zalik

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042268

zbMATH Keywords

ApproximationFourier TransformsEntire FunctionsFourier InversionApproximation By Special Function ClassesCompleteness of Sets Of FunctionsRepresentations of Entire Functions By Series and IntegralsSequences of Translates

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Approximation by other special function classes (41A30) Representations of entire functions of one complex variable by series and integrals (30D10) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (3)

A basis of weighted exponentials ⋮ The Müntz-Szasz theorem and the closure of translates ⋮ The fundamentality of sets of ridge functions

Cites Work

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• Approximation by polynomials
• On Approximation by Shifts and a Theorem of Wiener
• Entire Functions and Muntz-Szasz Type Approximation
• On Approximation by Non-Dense Sets of Translates

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