Explores random variables, sigma algebras, independence, and shift-invariant measures, emphasizing cylinder sets and algebras.
Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.
Introduces the course on measure and integration, focusing on developing a new theory to overcome the limitations of the Riemann integral.
Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.
