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arXiv · 2405.12499

Inversin of double Fourier integral of non-Lebesgue integrable bounded variation functions

Edgar Torres-Teutle·Francisco J. Mendoza-Torres·Maria G. Morales-Macias
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Abstract

This work proves pointwise convergence of the truncated Fourier double integral of non-Lebesgue integrable bounded variation functions. This leads to the Dirichlet-Jordan theorem proof for non-Lebesgue integrable functions, which has not been sufficiently studied. Note that recent contributions regarding this subject consider Lebesgue integrable functions, [F. Moricz, 2015], [B. Ghodadra-V. Fuulop, 2016].

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Edgar Torres-Teutle, Francisco J. Mendoza-Torres, Maria G. Morales-Macias. 2024-05-21. Inversin of double Fourier integral of non-Lebesgue integrable bounded variation functions. https://arxiv.org/abs/2405.12499

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