RG Analysis and Partial Differential Equations
V5B7: Selected Topics in Analysis - Introduction to Banach-valued analysis
Winter Semester 2020/2021
- Dr. Alex Amenta
- Instructor
- Prof. Dr. Christoph Thiele
- Instructor
Lectures
- Tu 10-12
- Th 10-12
Topics
Many results of the analysis of scalar-valued functions extend to functions valued in infinite-dimensional Banach spaces. Carrying out these extensions relies on (and reveals) subtle connections between Fourier analysis, probability, operator theory, and the geometry of Banach spaces. This course will cover some of the fundamental topics in the analysis of Banach-valued functions, including Bochner spaces, martingales, UMD Banach spaces, Fourier multipliers (including the Hilbert transform), and Rademacher type and cotype. Further topics will be announced as the course progresses. More information will be made available here.Prerequisites
Functional analysis (particularly Banach spaces) and measure theory. Experience with Fourier analysis and probability is recommended but not required.Administration
Link to page in BasisLiterature
- T. Hytonen, J. van Neerven, M. Veraar, and L. Weis, Analysis in Banach Spaces (volumes I and II)
- G. Pisier, Martingales in Banach Spaces.
News
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Hirzebruch lecture by Rahul Pandharipande on Monday, May 15, 2023
Lucas Mann recevices the Hausdorff memorial award 2021/22
Bachelor Prize 2021/22 of the BMG awarded
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize
Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023
Pius XI Medal awarded to Professor Peter Scholze
Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant