INVERSION OF DOUBLE FOURIER INTEGRAL OF NON-LEBESGUE INTEGRABLE BOUNDED VARIATION FUNCTIONS
Resumo
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. Móricz, 2015], [B. Ghodadra-V. Fulop, 2016].
Downloads
Não há dados estatísticos.
Publicado
2025-12-20
Seção
Advances in Nonlinear Analysis and Applications
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
