250099 VO Ausgewähle Kapitel der Fourieranalysis (2015W)

The purpose is to introduce the notions of Fourier series and Fourier transform and to study their basic properties. The main part of the course will be devoted to the one dimensional case in order to simplify the definitions and proofs. Many multidimensional results are obtained in the same manner, and those results will also be discussed (briefly). Fourier analysis techniques are important in various fields, in particular, in mathematical physics. It will be explained how one can solve some differential equations and study the properties of their solutions using these techniques.