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A Constructive Framework for Generalized Fourier Transforms via Truncate-and-Generalized Limits

Akaiwa, Yoshihiko
arXiv (All) · Papers
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functional-analysisprimary
This paper introduces a constructive definition of generalized Fourier transforms based entirely on ordinary truncated Fourier integrals and ordered dual-domain limits, within the framework of improper Riemann integration and classical analysis. The proposed truncate-and-generalized-limit (t.g.l.) f
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