Fourier analysis
Time: Thu 2013-09-05 13.15 - 15.00
Location: Rum 3733, Lindstedtsvägen 25, plan 7, institutionen för matematik, KTH
The course will treat Fourier analysis in Euclidean space. Among other things the following topics will be discussed:
- Convergence and summability of Fourier series and Fourier integrals
- Interpolation of operators
- Hardy-Littlewood's maximal function
- Calderón-Zygmund theory of singular integrals
- Fourier mulipliers
Lectures will be held on Thursdays at 13:15-15:00 during the fall in seminar room 3733, KTH.
Literature: Stein, Singular integrals and differentiability properties of functions. Princeton Univ. Press. Katznelson, An introduction to harmonic analysis.