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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the definition of projection-valued measure (PVM) and the resolution of the identity, introducing complex measures. It explains the extension of functional calculus to bounded Borel-measurable functions and its continuity properties. The lecture also delves into the application of functional calculus to simple functions, emphasizing the concept of *-homomorphism.