A numerical approximation for the Fourier transform via the Henstock–Kurzweil integral

Examples and Counterexamples 2026 Open access

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Authors: M. Gonzalez
DOI: 10.1016/j.exco.2026.100224
Cited by: 0
References: 11

Abstract

The Henstock-Kurzweil integral takes up the ideas of Bernard Riemman by modifying the length of the intervals through a gauge function. In recent years, important results have been obtained in Fourier Analysis using the Henstock Kurzweil integral for nonLebesgue integrable functions. Within the scope of this article, some applications are contemplated, for functions of bounded variation that vanish at infinity, the first application consists of obtaining numerical estimates via computation with Hake’s Theorem.

Fields of Study & Subjects

Matrix Theory and Algorithms Numerical methods in inverse problems Mathematical functions and polynomials

Publication details

Journal / source
Examples and Counterexamples
Publisher
Elsevier BV
Volume
9
Pages
100224–100224
Publication date
1 May 2026
Language
EN