(Fourier-analytic techniques in function spaces)
Winter term 2015/16: September 28 till October 2, 2015
Fourier analysis plays an important role in numerics, analysis of partial differential equations and function spaces. We will introduce the Fourier-analytic definition of spaces of Besov and Lizorkin-Triebel type, give their basic properties, equivalent definitions based on differences, and their decomposition properties in terms of atoms and wavelets. Applications of these techniques on traces will be considered as well. The lecture will be part of Erasmus+ staff mobility and will be given in the week of September 28 till October 2, 2015 by Prof. Winfried Sickel from Jena, Germany.
The lecture will take place each day (including Monday September 28) in the morning 10:15-11:45 and in the afternoon 14:00-15:30 in the lecture hall K2 at Karlin.
The lecture counts for students as a regular one semester course, with code NMM801. Exams can be taken any time after the course by me (J.V.).