Functional Analysis A.A. 2024-2025, Sezione: Course record

Schema della sezione

- Seleziona attività November 4: characterization of sigma-finite Borel measures on R
  
  November 4: characterization of sigma-finite Borel measures on R File
- Seleziona attività November 18: measurable functions, push forward of a measure, integration w.r.t a measure, Radon Nikodym theorem
  
  November 18: measurable functions, push forward of a measure, integration w.r.t a measure, Radon Nikodym theorem File
- Seleziona attività November 20: absolutely continuous measure and singular measures. Joint law of two random variables. Metric spaces and Banach spaces.
  
  November 20: absolutely continuous measure and singular measures. Joint law of two random variables. Metric spaces and Banach spaces. File
- Seleziona attività November 27: Jensen inequality, Holder inequality. Banach spaces of rando variables with finite p-moment. Scalar product in M^2.
  
  November 27: Jensen inequality, Holder inequality. Banach spaces of rando variables with finite p-moment. Scalar product in M^2. File
- Seleziona attività November 27 registration
  
  November 27 registration Kaltura Video Resource
- Seleziona attività December 2: Orthogonal projection theorem in Hilbert spaces. The conditional expectation of a random variable with respect to a sigma algebra (or with respect to another random variable)
  
  December 2: Orthogonal projection theorem in Hilbert spaces. The conditional expectation of a random variable with respect to a sigma algebra (or with respect to another random variable) File
- Seleziona attività December 10: coupling between measures, and deterministic couplings. Optimal transport problem
  
  December 10: coupling between measures, and deterministic couplings. Optimal transport problem File
- Seleziona attività Registration December 10
  
  Registration December 10 Kaltura Video Resource
- Seleziona attività December 15: Monge and Kantorovich optimal transport problem, and Wasserstein distance.
  
  December 15: Monge and Kantorovich optimal transport problem, and Wasserstein distance. File