On asymptotics of Fourier transform for functions of certain classes

DOI10.1007/BF02905077zbMath0794.42006OpenAlexW74934717MaRDI QIDQ1313681

Elijah Liflyand

Publication date: 11 August 1994

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02905077

zbMATH Keywords

Fourier transformasymptotic formulastests for integrability of trigonometric series

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 (24)

Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Asymptotic Behavior of the Fourier Transform of a Function of Bounded Variation ⋮ On asymptotics for a class of radial Fourier transforms ⋮ Fourier transforms on an amalgam type space ⋮ The question on multipliers in \(L^1\) and \(C\) ⋮ Fourier transformation of quasiconvex functions and functions of the class \(V^{*}\) ⋮ \(L^p\) simulation for measures ⋮ L^1 Convergence of Fourier transforms ⋮ Conditions for the absolute convergence of Fourier integrals ⋮ Fourier transform versus Hilbert transform ⋮ A limit theorem for local time and application to random sets ⋮ On Fourier re-expansions ⋮ On integrability and strong summability of Walsh-Kaczmarz series ⋮ Fourier transforms on weighted amalgam-type spaces ⋮ A concept of general monotonicity and applications ⋮ Asymptotics of the Fourier sine transform of a function of bounded variation ⋮ The Fourier transform of a function of bounded variation: symmetry and asymmetry ⋮ The Wiener algebra of absolutely convergent Fourier integrals: an overview ⋮ An interplay of multidimensional variations in Fourier analysis ⋮ Hardy spaces generated by an integrability condition ⋮ \(L^1\) convergence of Fourier transforms ⋮ \(L^1\) convergence of Fourier transforms revisited ⋮ On quasi-monotone functions and sequences ⋮ On an Sz.-Nagy theorem

Cites Work

• Asymptotic equalities for integrals of the modulus of the sum of a multiple sine series
• On the spectral synthesis of bounded functions
• On generalized quasi-convex sequence and its applications
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