3 papers
Introduction to Measure and Integration Theory
Hugo Guadalupe Reyna-Castañeda, María de los Ángeles Sandoval-Romero, Luis Antonio Cedeño-Pérez
These notes provide a rigorous and accessible introduction to measure and integration theory, with emphasis on the conceptual transition from the Riemann integral to the Lebesgue i…
An Analytic Construction of Random Variables in Lebesgue Spaces
Hugo Guadalupe Reyna-Castañeda, María de los Ángeles Sandoval-Romero
This work develops, from a functional analytic perspective, the construction of random variables in Lebesgue spaces L^p. It extends classical notions of measurability, integrabilit…
A variational problem to calculate probabilities
Hugo Guadalupe Reyna-Castañeda, María de los Ángeles Sandoval Romero
In this paper, we prove the existence and uniqueness of the conditional expectation of an event given a -algebra as a linear problem in the Lebesgue spaces $L^…