The Fourier Transforms of General Monotone Functions
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Publication:2924935
DOI10.1007/978-3-7643-9906-1_18zbMath1297.42009OpenAlexW178676423MaRDI QIDQ2924935
Elijah Liflyand, Sergey Yu. Tikhonov
Publication date: 20 October 2014
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-7643-9906-1_18
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Monotonic functions, generalizations (26A48) Functions of bounded variation, generalizations (26A45) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)
Related Items (21)
Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Uniform convergence and integrability of Fourier integrals ⋮ Weighted Hankel transform and its applications to Fourier transform ⋮ Uniform convergence of double sine transforms of general monotone functions ⋮ Weighted Paley-Wiener theorem on the Hilbert transform ⋮ A sufficient condition for uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ Uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ Extending tests for convergence of number series ⋮ General monotonicity and interpolation of operators ⋮ Weighted Fourier inequalities: Boas' conjecture in \({\mathbb{R}}^{n}\) ⋮ Fourier transform versus Hilbert transform ⋮ 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 ⋮ Extended solution of Boas' conjecture on Fourier transforms ⋮ Asymptotic decay of Fourier, Laplace and other integral transforms ⋮ General monotone functions and their Fourier coefficients ⋮ Uniform convergence of Hankel transforms ⋮ Two power-weight inequalities for the Hilbert transform on the cones of monotone functions ⋮ Applications of general monotone sequences and functions to trigonometric series and integrals ⋮ A necessary condition for uniform convergence of double sine series with $p$-bounded variation coefficients
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