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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 interpolation techniques, including the Hölder inequality and its improvement, interpolation of functions, and the proof of continuity of interpolation operators. The instructor demonstrates the reduction of cases and the application of previous arguments to prove interpolation results. The lecture also discusses the concept of interpolation domains, the use of random variables in interpolation, and the continuity of interpolation operators. Various interpolation inequalities are presented, along with the interpolation of functions in different spaces.