Some theorems concerning holomorphic Fourier transforms

DOI10.1016/0022-247X(87)90056-4zbMath0639.42007OpenAlexW2021293132MaRDI QIDQ1100378

T. Abuabara Saad, Richard A. Zalik

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90056-4

zbMATH Keywords

Fourier transformentire functionsminimal sequencesfundamental sequences

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) 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 (4)

Complete and minimal exponential systems in spaces \(L^ p(\mathbb{R})\) ⋮ Theorems of Hausdorff-Young and Paley-Wiener type for Fourier transforms of rapidly decreasing functions ⋮ Theorems of paley—wiener—pitt's type for fourier transfoums of rapidly decreasing functions ⋮ A basis of weighted exponentials

Cites Work

• Remarks on a paper of Gel'fand and Shilov on Fourier transforms
• On approximation by translates and related problems in function theory
• The Müntz-Szasz theorem and the closure of translates
• What is the Laplace Transform?
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