Abstract <p>An estimate with a precise constant is obtained for the Fourier transform of an integrable function of bounded variation on <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb{R}\)</EquationSource> <!--BMatMGU2570068Bakhvalov-m3--> </InlineEquation>.</p>

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On the Rate of Decrease in the Fourier Transform of a Function of Bounded Variation on \(\boldsymbol{\mathbb{R}}\)

  • A. N. Bakhvalov

摘要

Abstract

An estimate with a precise constant is obtained for the Fourier transform of an integrable function of bounded variation on \(\mathbb{R}\) .