Fourier Analysis
The course covers:
- Fourier series and integrals in one variable: Pointwise convergence, convergence in L2, summation of Fourier series and integrals. Theorems of Parseval and Plancherel.
- Fourier series and integrals in several variable: Fourier analysis in higher dimensions and on discrete Abelian groups.
- Fourier analysis of analytic functions: Hardy functions on the unit disk, Paley-Wiener Theorem, Hardy functions and filters.
- Applications: Selection of the following. Heat equation, wave equation, isoperimetric inequality, Laplace equation on the unit disk and half-plane, Szegő's Theorem.
This course is given jointly with KTH, and information about schedule, course literature etc. can be found on KTH's pages - see links below.
Though it is not a requirement for admission, knowledge equivalent to the course Mathematics III - Ordinary Differential Equations is recommended before starting this course.
The course consists of one element.
Teaching Format
Instruction is given in the form of lectures and exercises.
Assessment
The course is assessed through written examination and for higher grades (A and B) also oral examination.
For information on how to sign up for exams at KTH, see Exam information.
Examiner
A list of examiners can be found on
Note that semesters do not always start on the same day at Stockholm University and KTH, so this course may begin before the official first day of the semester at Stockholm University.
New student
During your studies
Note that if you have applied to and are admitted to this course, you register for the course at Stockholm University, not KTH.
Course web
Registered students get access to the KTH course web in Canvas.
