Course Syllabus for

Distribution Theory

MATP11F, 7.5 credits

Valid from: Autumn 2019
Decided by: Professor Thomas Johansson
Date of establishment: 2019-10-08

General Information

Division: Mathematics
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MATP11
Teaching language: English


The theory of distributions makes it possible to, in a consistent way, extend the definitions of classic concepts in mathematical analysis, such as derivatives, integrals and Fourier transforms, to more general functions. The aim of the course is to give the PhD student solid knowledge in basic distribution theory in order to facilitate future research in, e.g., the theory of partial differential equations or control theory.


Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Judgement and Approach

For a passing grade the doctoral student must be able to elaborate on the difference between solving problems in the sense of distributions and solving them in the classical sense.

Course Contents

The foundations of distribution theory. Test functions, the concept of distributions, distributions with compact support, operations on distributions, convolution, homogeneous distributions and the Fourier transform of a tempered distribution.

Course Literature

Duistermaat, J.J. & Kolk, Johan A.C.: Distributions: Theory and Applications. Birkhäuser, 2010. ISBN 9780817646721.
Available as e-book via the department library.

Instruction Details

Types of instruction: Lectures, seminars

Examination Details

Examination formats: Written exam, oral exam
Grading scale: Failed, pass

Admission Details

Assumed prior knowledge: MATC11 Analytic functions

Course Occasion Information

Contact and Other Information

Course coordinators:
Web page:

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