Properties of Fourier Transform

In course

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Description

This lecture covers the properties of the Fourier transform, including continuity, linearity, and composition. It explores the concept of continuity and the composition of affine functions. The lecture delves into the transformation of functions and the implications of continuity. It also discusses the convolution of two functions and the interpretation of the convolution product. The Fourier transform is applied to various functions, showcasing its utility in signal processing and mathematics.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_t2p54b4b

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Information engineering

Signal processing: Fourier analysis

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