RG Analysis and Partial Differential Equations


V4B5 - Real and harmonic analysis (Winter term 2014/2015)

Lecturer:

Prof. Dr. Herbert Koch

TA:

Gennady Uraltsev

Lectures

TA groups:

Exercise Sheets:

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

Literature: