Component
École Nationale Supérieure d'Électrotechnique d'Électronique d'Informatique d'Hydraulique et des Télécommunications
Objectives
To give the mathematical basis essential to any engineer concerning the theory of measurement, integration and the Fourier transform. These basics will be useful in several courses such as signal processing, image processing, telecommunications, data analysis, partial differential equations,...
Description
* Introduction to measure theory
* Construction of the Lebesgue integral
* Main integration theorems (dominated convergende, Fubini,...)
* Fourier transform in L1/L2
* Convolution, filtering
* Distributions, Fourier transform of distributions.