V5B8  Selected Topics in Analysis Topis in Euclidean Harmonic Analysis
Summer term 2023
 Prof. Dr. Christoph Thiele
Organisational details
 Time and place: Thu 1416 (c.t.), Room N0.003, Endenicher Allee 60 (Annex), first lecture: Thu 6th April
 If you are a participating Masters student, please register on Basis.
Basis page
Overview
We have read four papers of the original literature, the list is as follows

"When does exp(tau) maximize Fourier extension for a conic section?"
(G. Negro, D. Oliveira e Silva, C.T.) arXiv:2209.03916.
We read the proof of Foschi's theorem in Section 2.

"The Hilbert transform does not map L1(Mw) to L1,infty(w)"
(M. Reguera, C.T.) arXiv:1011.1767.

"An L4 estimate for a singular entangled quadrilinear form"
(P. Durcik) arXiv:1412.2384.

"Phase space localizing operators"
(M. Fraccaroli, O. Saari, C.T.) arXiv:2210.16164.
Prerequisites: Basic Bachelor level courses
in Analysis. In particular familiarity with Fourier analysis and
Lebesgue measure theory is helpful.
Homework: It is expected that students read and work through and understand the discussed papers (in so far as discussed in the course) as well as the important references therein, concurrently with the lectures.
Examination
There will be oral exams in the week July 17 24.
A typical exam will discuss two of the papers read throughout the course,
one chosen by the examiner and one by the examinee.