The Müntz-Szasz theorem and the closure of translates

DOI10.1016/0022-247X(81)90201-8zbMath0499.30009MaRDI QIDQ1171675

Richard A. Zalik

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier transformMüntz-Szasz theoremclosure of translatesspan of translates in Lp spaces

Mathematics Subject Classification ID

Completeness of sets of functions in one variable harmonic analysis (42A65) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (5)

Some theorems concerning holomorphic Fourier transforms ⋮ Approximation schemes satisfying Shapiro's theorem ⋮ A basis of weighted exponentials ⋮ Phase space distribution of Gabor expansions ⋮ Remarks on a paper of Gel'fand and Shilov on Fourier transforms

Cites Work

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• Weighted polynomial approximation on unbounded intervals
• On approximation by translates and related problems in function theory
• On the Szasz-Müntz theorem
• Restrictions of Fourier transforms and extension of Fourier sequences
• On Fundamental Sequences of Translates
• Approximation by Nonfundamental Sequences of Translates
• On Approximation by Shifts and a Theorem of Wiener
• Notes on the Theory and Application of Fourier Transforms, III, IV, V, VI, VII
• Entire Functions and Muntz-Szasz Type Approximation
• Der Müntzsche Satz beim Übergang vom unendlichen zum endlichen Intervall
• COMPLEX FOURIER--BESSEL TRANSFORMS

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