Seminar Analysis (HS 2016)

Lecturer

  • Prof. Dr. Zoltán Balogh

Assistants

  • Annina Iseli

Date and Venue

  • Wednesday, 10 - 12 h, B78 (ExWi)
  • Start: Wednesday, September 21, 2016

Details

  • 3 ECTS credit points

Seminar Description

We consider selected topics from Pertti Mattila's recent book "Fourier Analysis and Hausdorff dimension", (2015). The book provides a nice survey of Fourier analysis and its applications to geometric measure theory. Our goal is to learn a manageable amount of Fourier analysis and their connections to results about sets and measures, mostly in Euclidean space. 

In the first few weeks we study the introductory chapters for preliminary material, then we consider Cantor measures, Bernoulli convolutions, Hausdorff dimension of projections, distance sets, and Besicovitch sets. In order to follow the seminar, previous knowledge of Fourier analysis and fractal geometry is helpful but not necessary.

In the first meeting on September 21st we will give a brief overview of the covered topics and discuss the exact seminar schedule (e.g. fix topics and speakers for the first couple of talks).