Mathematical Analysis II (MAT610)

The course gives an introduction to Functional Analysis, including applications to Harmonic Analysis.

Course description for study year 2024-2025. Please note that changes may occur.


Course code




Credits (ECTS)


Semester tution start


Number of semesters


Exam semester


Language of instruction



NB! This is an elective course and may be cancelled if fewer than 10 students are enrolled by January 20th for the spring semester.

Introduction to the basic theory of Hilbert and Banach spaces, L_p-spaces, Paley-Wiener spaces and sampling of continuous functions. The emphasis is made on both theoretical understanding and use.

Learning outcome

After completing the course, the student will have knowledge of key concepts and ideas in Functional Analysis. Furthermore, the student will have knowledge of selected advanced topics such as Paley-Wiener spaces and sampling of continuous signals.

Required prerequisite knowledge

MAT210 Real and Complex Calculus

Recommended prerequisites

MAT310 Mathematical Analysis


Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Valid calculator

Written exam is with pen and paper

Course teacher(s)

Course coordinator:

Alexander Ulanovskii

Course teacher:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Head of Department:

Bjørn Henrik Auestad

Method of work

6 hours of lectures and tutorials per week.

Open for

Mathematics and Physics - Master of Science Degree Programme Mathematics and Physics - Five Year Integrated Master's Degree Programme

Course assessment

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.


Search for literature in Leganto