Arbeitsgruppe Analysis und Partielle Differentialgleichungen
V4B5 - Real and harmonic analysis (Winter term 2014/2015)
Lecturer:
Prof. Dr. Herbert KochTA:
Gennady UraltsevLectures
- Mo 14.15-16.00, room 1.008
- We 8.15-10.00, room 1.008
TA groups:
- Fr 16:00-18:00, room 1.007
Exercise Sheets:
- 08.10 - 15.10
- 15.10 - 22.10
- 22.10 - 29.10
- 29.10 - 05.11
- 05.11 - 12.11
- 12.11 - 19.11
- 19.11 - 26.11
- 26.11 - 3.12
- 10.12 - 17.12
- 07.01 - 14.01
- 14.01 - 21.01
- 21.01 - 28.01
Contents:
The course introduces the key concepts of real and harmonic analysis, a number of important expamples, and their relation to partial differential equations. Keywords are: Fourier series: Convergence and examples, boundary values of harmonic functions, Maximal function, square functions and singular integrals, Lebesgue spaces, Hardy space, BMO and Littlewood-Paley theory, almost orthogonality, uncertainty and Fourier restriction. Application to PDE.Notes:
Oral examination
- February 19-20, 2015
- March 30-31, 2015
Literature:
- Muscalu and Schlag: Classical and multilinear harmonic analysis, Vol 1, Cambridge studies in advanced mathematics 137, 2013
- Grafakos: Classical Fourier Analysis, Springer, Graduate Texts in Mathematics 249, 2008
Aktuelles
Cole Prize fĂĽr Jessica Fintzen
Dr. Regula Krapf erhält Lehrpreis der Universität
Prof. Daniel Huybrechts erhält Compositio Prize für die Periode 2017-2019
Prof. Catharina Stroppel erhält Gottfried Wilhelm Leibniz-Preis 2023
Stipendien für Mathematikstudierende aus der Ukraine
Prof. Jessica Fintzen erhält einen Whitehead Prize der London Mathematical Society
Prof. Peter Scholze zum Foreign Member der Royal Society ernannt