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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.12499 |
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| _version_ | 1866914803877937152 |
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| author | Torres-Teutle, Edgar Mendoza-Torres, Francisco J. Morales-Macias, Maria G. |
| author_facet | Torres-Teutle, Edgar Mendoza-Torres, Francisco J. Morales-Macias, Maria G. |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12499 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inversin of double Fourier integral of non-Lebesgue integrable bounded variation functions Torres-Teutle, Edgar Mendoza-Torres, Francisco J. Morales-Macias, Maria G. Functional Analysis 43A50, 26A39, 42B10, 26B30 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]. |
| title | Inversin of double Fourier integral of non-Lebesgue integrable bounded variation functions |
| topic | Functional Analysis 43A50, 26A39, 42B10, 26B30 |
| url | https://arxiv.org/abs/2405.12499 |