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

E Torres-Teutle, FJ Mendoza-Torres… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

The uniform inversion of double Fourier integral of bounded variation functions that may not be Lebesgue integrable

E Torres-Teutle, FJ Mendoza-Torres… - Mathematical …, 2024 - Springer
The Uniform Inversion of Double Fourier Integral of Bounded Variation Functions That May Not
Be Lebesgue Integrable | Mathematical Notes Skip to main content Springer Nature Link …

[PDF][PDF] Improper Integration and Fourier Analysis I

FJ MENDOZA-TORRES… - … APLICADOS A LAS …, 2024 - simmac.ucr.ac.cr
In this talk we will present some results obtained in the Fourier Analysis using new
integration theories. Initially, we will review the history of the close relationship between the …