Convergence of Fourier Series

In course

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Description

This lecture covers the convergence of Fourier series in L² space, focusing on trigonometric polynomials and the Weierstrass approximation theorem. The instructor explains the Fourier inversion formula, Plancherel formula, and the properties of trigonometric polynomials. The lecture concludes with the proof of the convergence theorem and the approximation of functions in L² space.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_hew47im6

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Logic

Classical logic: First-order logic

Information engineering

Signal processing: Fourier analysis

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