Universität Wien
Course Exam

250099 VO Selected topics in Fourieranalysis (2015W)

7.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Friday 11.03.2016

Examiners

Information

Examination topics

Pre-requisistes are calculus, linear algebra and a basic course
on differential equations. In the beginning some key results
from integration theory and functional analysis
will be discussed.

Assessment and permitted materials

Written exam (2 hours).

Minimum requirements and assessment criteria

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.

Last modified: Mo 07.09.2020 15:40