Stein-Shakarchi: Fourier Analysis, an Introduction (Princeton 2003)
Grafakos: Classical Fourier Analysis (Springer 2008)
In addition to the pdf-file containing the problems, there is also the latex-file which can be used as the base for typesetting your solutions. You should return these to Antti (antti.kujanpaa 'at' helsinki.fi) by Monday 29 January, 7 pm.
(*) Error in Ex. 4 : the sequence should converge to 0.
The course exam is on Thursday 8.3., 12-15 in Exactum B119.
Master's Programme in Mathematics and Statistics is responsible for the course.
The course belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
Measure and integration, Functional analysis
Fourier series and applications, fast Fourier transform
Recommended time/stage of studies for completion: 1. or 2. year
Term/teaching period when the course will be offered: varying
Fourier series, their properties such as convergence and applications
Lectures and exercise classes
Exam and excercises, Course will be graded with grades 1-5
Exam, other methods will be described later