On asymptotics for a class of radial Fourier transforms

DOI10.4171/ZAA/811zbMath0911.42006MaRDI QIDQ1381126

Walter Trebels, Elijah Liflyand

Publication date: 17 March 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

radial functionfractional Weyl derivative\(n\)-dimensional Fourier transformmultiplier problem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (9)

Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Weighted Hankel transform and its applications to Fourier transform ⋮ The Fourier transform of multiradial functions ⋮ On Fourier transforms of radial functions and distributions ⋮ The Wiener algebra of absolutely convergent Fourier integrals: an overview ⋮ Some Problems in Fourier Analysis and Approximation Theory ⋮ On Leray’s Formula ⋮ On the Fourier transform of rotationally invariant distributions ⋮ The Boas problem on Hankel transforms

Cites Work

• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• On asymptotics of Fourier transform for functions of certain classes
• Multipliers of Fourier transforms and series on \(L^ 1\)
• Estimates of best approximation and Fourier transforms in integral metrics
• A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers
• Fourier transforms of radial functions
• What is the Laplace Transform?
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