3 papers
math.CA2020
Fourier analysis with generalized integration
Juan H. Arredondo, M. Guadalupe Morales, Manuel Bernal G
We generalize the classic Fourier transform operator by using the Henstock-Kurzweil integral theory. It is shown that the operator equals the -Fourier transfo…
math-ph2020
The Feynman integral path a Henstock integral: a survey and open problems
Ricardo Gaitan, M. Guadalupe Morales
The Feynman path integral is defined over the space of all possible paths; it has been a powerful tool to develop Quantum Mechanics. The absolute value of Feynman's…
math.FA2020
Riemann-Liouville derivative over the space of integrable distributions
M. Guadalupe Morales, Zuzana Došlá, Francisco J. Mendoza
In this paper, we generalize the Riemann-Liouville differential and integral operators on the space of Henstock-Kurzweil integrable distributions, . We obtain new fundament…