Lecture

Lebesgue Measure and Fourier Analysis

In course

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Description

This lecture covers the Lebesgue measure theorem, Lebesgue integration, convergence theorems, LP spaces, Fourier analysis, and Fourier transform. It also delves into the application of these concepts to PDEs, emphasizing methods like separation of variables and Fourier series. The course concludes with a discussion on the 19th Hilbert problem and optimal transport.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_3kjfuu1z

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Ontological neighbourhood

Mathematics

Analysis: Measure theory, Functional analysis

Information engineering

Signal processing: Fourier analysis

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