An introduction to Integration Theory in the sense of Henry Lebesgue

• Grant number: 23/08079-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2023
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: João Gabriel Rego
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The project's goal is to begin a formal study in Measure and Integration Theory, focusing on the Lebesgue integral. It is intended to apply the results studied to Convolution Theory.