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A simple derivation of the Fourier transform of the Heavi...
[Submitted on 21 May 2026 (v1), last revised 22 May 2026 (this v · 2026-05-25 · via math updates on arXiv.org

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Abstract:We give a rigorous derivation of the Fourier transform of the Heaviside function within a framework for tempered distributions that is suitable for undergraduate engineering and mathematics students. The proofs rely on fundamental concepts typically taught in a freshman-level calculus course, including limits, generalized integrals, integration by parts and the Taylor Remainder Theorem.

Submission history

From: Robert Dalang [view email]
[v1] Thu, 21 May 2026 08:59:14 UTC (7 KB)
[v2] Fri, 22 May 2026 15:30:22 UTC (7 KB)