MEASURING AND INTEGRATION THEORY
Learning outcomes of the course unit
To provide basic knowledge of measure theory and integration in its abstract formulation.
Mathematical Analysis courses of the specialistic degree. Elements of topology.
Course contents summary
Abstract integration. Positive Borel measures. Lebesgue measure. Lebesgue spaces and inequalities. Signed measure. Integration on product spaces and Fubini's theorem. Product measure. Fourier transform.
Walter Rudin, Real and Complex Analysis.
Lectures with theory and exercises. Written test (exercises). Oral test (discussion of the written test and verification of the theoretical knowledge of the contents of the course).